Topics, T

T-Duality > see M-theory; principal fiber bundles.

T0, T1, T2, T3, T4 Spaces > see types of topological spaces.

Tables of Integrals > see integration.

Tachyons

Tails > see gravitational phenomenology; huygens' principle; quantum localization [Hegerfeldt theorem and infinite tails]; wave phenomena.

Talbot Effect > see light.

Tangent Bundle, Vector > see tangent structures.

Tangherlini Solutions > see schwarzschild [in dimension D > 4].

Tangle > s.a. knots; lattice field theory [random].
@ References: Baez & Langford LMP(98) [2-tangles]; Zinn-Justin & Zuber JKTR(00)mp, Zinn-Justin CMP(03)mp/01 [counting, and matrix models].

Tau Lepton > see particle types.

Taub Function > see initial value formulation of general relativity [densitized lapse].

Taub Numbers
* Idea: A set of tensorial conservation laws derivable from curves of solutions to the Einstein equation, i.e., solutions of the linearized equation; For asymptotically flat backgrounds with Killing symmetries, when the field equations and the linearized field equations for a metric perturbation are solved, such perturbed space-times admit 0th-, 1st-, and 2nd-order Taub numbers; 0th-order Taub numbers are Komar constants of the background; For each Killing symmetry of the background, first-order Taub numbers give the contribution of the perturbation to the associated Komar constant, such as the perturbing mass; second-order Taub numbers give the rate of gravitational radiative loss of the background conserved quantity.
@ Asymptotically flat backgrounds with Killing vectors: Glass PRD(93); Glass & Naber JMP(94) [extended to stationary electrovac]; Naber & Glass JMP(94) [at future null infinity]; Glass & Naber CQG(97); Glass gq/97.

Taub Solution
* Idea: A locally rotationally symmetric homogeneous solution of Bianchi type IX; Resembles a radiation filled Robertson-Walker solution which contains long-wavelength gravitational radiation rather than electromagnetic radiation.
@ General references: Matzner JMP(68); Jantzen GRG(05) [comment on rediscovery], Meléndez & Chauvet GRG(05) [reply].
@ Quantum: Battisti & Montani a0707-PRD [with gup]; Battisti et al a0806 [polymer approach]; > s.a. path integral approach to quantum gravity.

Taub-Bolt Solution > see gravitational instantons.

Taub-NUT Solution > s.a. dirac fields in curved spacetime; kerr [Kerr-Taub-NUT-de Sitter]; wormholes.
* Idea: A spatially homogeneous vacuum solution of Bianchi type IX with topology S3 × R.
* History: Initially proposed by Taub, with coordinate singularities; Newman, Unti & Tamburino gave an extension.
* Line element: If we define U(t):= –1 + 2 (mt + l 2)/(t 2 + l 2),

ds2 = –U –1 dt2 + (2l)2U (d + cos d)2 + (t 2 + l 2) (d2 + sin2 d2) .

@ General references: Taub AM(51); Newman, Tamburino & Unti JMP(63); Misner JMP(63); Misner in(67) [has the 2D example]; Misner & Taub JETP(69); Baleanu & Codoban GRG(99)gq/98 [dual, symmetries].
@ Higher-dimensional: Astefanesei et al JHEP(05)ht/04 [Taub-NUT-AdS], JHEP(06)ht/05 [nuttier bubbles]; Awad CQG(06).
@ Other generalizations: Moncrief JGP(84); Van Holten PLB(95) [supersymmetric extension].
@ Related topics: Visinescu JPA(00) [Killing-Yano tensors]; Catren & Ferraro PRD(01)gq/00 [quantization]; Bini et al CQG(02)gq [holonomy]; Mann & Stelea PRD(05) [thermodynamics]; Holzegel CQG(06)gq [instability, and thermodynamics]; Jezierski & Lukasik CQG(07) [conformal Killing-Yano tensors].

Tavis-Cummings Model
@ References: Fujii et al IJGMP(04)qp [evolution operator], IJGMP(05).

Taylor Series > see series.

Teaching > see physics teaching.

Technicolor > see composite models.

Technology > s.a. electronic technology; microscopes; nuclear technology; optical technology; quantum technology.

Teichmüller Space > see 2D manifolds.

Teleology > s.a. causality.
* Idea: The notion that there is a purpose or ultimate end of physical laws.
* Example: Used as motivation for the the strong anthropic principle.

Teleparallel Structures and Theories

Teleportation > see quantum technology.

Temperature

10j Symbols > s.a. SU(2).
@ References: Christensen & Egan CQG(02)gq/01 [Riemannian, calculation]; Baez et al CQG(02)gq, Freidel & Louapre CQG(03)ht/02 [asymptotics]; Christensen CQG(06)gq/05 [Lorentzian, finiteness].

Tension > see matter dynamics in gravity; strings.

Tensor (including. tensor product) > s.a. tensor fields.

Tensor-Vector-Scalar Theory (TeVeS) > s.a. MOND.
@ References: Zlosnik et al PRD(06) [equivalence to Einstein-ether-type theories].

Tessellation > see tiling.

Tesseract
* Idea: A hypercube, or 4D cube.
@ References: Aravind AJP(01) [toy and Bell's theorem].

Tessellations > see tilings.

Test Body > see geodesic; particle models; test body orbits.

Tetrad Formalism > see tetrad.

Tetrahedron > s.a. spin foam [quantum tetrahedron]; SU(2) [6j-symbol]; simplex.
* For tiling: There exist three kinds of monogenic filling of R3 by tetrahedra, but only one has a dual lattice with monogenic filling (truncated octahedra).
@ References: Korepanov n.SI/00 [5 tetrahedra on 5 points, and curvature].

Teukolsky Equation > see black hole perturbations.

TeVeS (Tensor-Vector-Scalar Theory of Gravity) > see MOND.

Textures > see topological defects.

Theory > see physical theories; physics [theories of everything].

Thermal Bath > s.a. Thermal Radiation.
@ Coupled to quantum system: Ghosh et al PLA(05) [noise-induced transitions].

Thermal Conductivity > see heat.

Thermal Expansion > see condensed matter.

Thermal Field Theory > see types of field theories.

Thermal Radiation

Thermoacoustics > see sound.

Thermodynamics > s.a. concepts and systems; generalized versions.

Thermoelectric Effect > see electricity.

Thermofield Dynamics > Equivalent to a restricted version of quantum statistical mechanics.

Thermoluminescence
@ References: Martini & Meinardi RNC(97); Furetta RNC(98).

Theta Sector / Vacuum

Third Degree Algebraic Equation > see elementary algebra.

Third Quantization > s.a. quantum cosmology.
@ References: Das in(86).

Thirring Model
@ References: Ilieva & Thirring ht/98-in [rev]; Faber & Ivanov ht/03 [dynamical conformal symmetry breaking]; Benfatto et al ht/06 [rigorous].

Thomas Precession > s.a. phase; Rapidity.
* Idea: The spin precession for a particle in electromagnetic fields.
@ References: Rindler & Perlick GRG(90); Urbantke AJP(90); Samuel PRL(96); Hamilton AJP(96); Philpott AJP(96); Muñoz AJP(01) [in lab frame]; Bordovitsyn & Myagkii qp/01-in [in classical and quantum theory]; Herrera & Di Prisco FPL(02)gq [approaches]; Behera ap/03, ap/03, ap/03 [gravitational]; Matolcsi & Matolcsi IJTP(05)mp; Chrysos EJP(06) [the 1/2 factor]; Jonsson AJP(07) [and curved spacetime]; Matolcsi et al GRG(07) [and rotating reference frames]; Klioner a0803 [explicit exact expression].

Thomas Scattering
* Idea: The capture of a particle by a fast projectile.
@ References: Bitensky AJP(98).

Thomas-Fermi Statistical Model > see atomic physics.

Thompson Scattering
* Idea: Scattering of an electromagnetic wave by a free electron.
@ References: in Jackson 75; Anderson gq/97 [in Einstein-de Sitter universe].

Thought Experiment > see under Gedankenexperiment.

Threading > s.a. decomposition; canonical formulation of general relativity and modified approaches.
* Idea: An alternative approach to an evolution formulation of covariant field equations, in which spacetime is decomposed not using a foliation by spacelike hypersurfaces, but a congruence of timelike curves.
@ References: Ehlers in(59).

Three-Body Problem > see classical systems; composite quantum systems; orbits in newtonian gravity.

3j-Symbols
@ References: Aquilanti et al JPA(07)qp [semiclassical analysis].

Thurston Norm
@ References: Friedl & Kim Top(06) [fibered manifolds and twisted Alexander polynomials].

Tidal Force > see Metric-Affine Theories; newtonian gravity.

Tikhonov Theorem > see under Tychonoff Theorem.

Tiling > s.a. random tiling; Voronoi tiling.

Tilt in Cosmology > s.a. bianchi models.
@ References: Coley et al PLB(06) [and phantom matter behavior].

Time > s.a. arrow of time; cpt symmetry [time reversal]; in classical gravity; in quantum theory; in quantum gravity.

Time Delay > see tests of general relativity.

Time Dilation > see kinematics of special relativity.

Time Machine > see causality violations.

Time-Ordered Product
* Idea: A tool in quantum field theory introduced by Wick.
$ Def: In the algebra of position-dependent (or often just time-dependent) boson and fermion operators on Fock space, it is defined on products by the time-ordering

T(A1(x1) A2(x2) ... An(xn)):= (–1)p Ap_1(xp_1) Ap_2(xp_2) ... Ap_n(xp_n) ,

where {pi} is a permutation of {1, 2, ..., n} such that tp_i tp_(i+1), or xp_i J+(xp_(i+1)), and p is the number of times two fermion operators were commuted; It is then extended to all other elements by linearity:

T(A+B) = T(A) + T(B) ,   T(cA) = c T(A) .

* Wick's theorem: The time-ordered product of n operators is equal to the sum of all possible normal products formed with all possible contractions.
@ References: Wick PR(50); Hollands & Wald CMP(01)gq, CMP(02)gq/01 [in curved spacetime, covariant].

Time-Orientability > see orientation.

Time-Reversal Symmetry Breaking / Violation > s.a. CPT.
@ References: Gutkin JPA(07) [dynamical, and chaos].

Time Slice Axiom in Quantum Field Theory
* Idea: The observables which can be measured within an arbitrarily small time interval suffice to predict all other observables; Well known for free field theories, where the validity of the axiom is an immediate consequence of the field equations, and for certain superrenormalizable models in 2 dimensions; 2008, Extended to scalar field theories in globally hyperbolic spacetimes within formal renormalized perturbation theory.
@ References: Chilian & Fredenhagen a0802 [for interacting scalar fields on globally hyperbolic spacetimes].

Timelike Curve > s.a. Worldline.
@ References: Ehrlich & Galloway CQG(90) [and Lorentzian splitting theorem]; Low CQG(90) [topology of the space of causal geodesics].

Titius-Bode Law
* Idea: The most stable situation for a planetary system is achieved when each planetary orbit is roughly twice as far from the Sun as the preceding one; Empirically observed by Titius (1766) and Bode (1778).
@ And resonances: Bass ap/02; Bass & Del Popolo IJMPD(05)ap/04.

Toda Lattice

TOE (Theory of Everything) > see physics.

Toeplitz Operators
@ References: Boutet de Monvel & Guillemin 80.

Tokens
* Idea: Tokens allow to express a semigroup on one set via a semigroup convolution on another set; They are similar to intertwining operators, but more flexible.
@ References: Kisil m.FA/02-in.

Tolman Solutions / Wormholes > s.a. cosmological models in general relativity; cosmological perturbations; regge calculus; wormhole.
* History: Introduced by Tolman in 1934.
@ References: Tolman PNAS(34) – reprinted GRG(97); Hellaby PRD(94)gq/99 [Vaidya limit]; > s.a. Lemaître-Tolman-Bondi.

Tomimatsu-Sato Solutions [> s.a. solutions in general relativity.]
@ References: Manko et al G&C(99) [ring singularities]; Hikida & Kodama gq/03-in; Kodama & Hikida CQG(03)gq.

Tomographic Representation > see canonical quantum gravity; representations of quantum mechanics and quantum field theory; quantum states.

Tomography > see earth; dirac fields.

Tonks-Girardeau Gas > see Fermionization.

Topological Algebra > see algebra.

Topological Defects > s.a. cosmic strings.

Topological Field Theory

Topological Gravity > s.a. BF theory; black holes in 3D and in modified theories; 3D gravity.
* Idea: The reduction of general relativity to spacetimes with vanishing curvature, but with global topological degrees of freedom.
* Action: Given by Horowitz in terms of a Lie-algebra-valued 2-form Bab ij, and a connection a ij in the BF form

S[, B] = M  Bij R ij ;

Variation of the action wrt Bij gives that ij is flat, so there are local degrees of freedom only if one admits torsion.
@ General references: Myers & Periwal NPB(91); Nakamichi et al PRD(91); Oda & Sugamoto PLB(91); Wu JGP(93); Waelbroeck & Zapata CQG(94)gq/93 [canonical]; Zapata CQG(96)gq [self-dual, lattice]; Thuillier JGP(98); Mignemi PRD(99)gq/98 [4D]; Constantinidis et al CQG(04)gq [approaches].
@ And general relativity: Montesinos CQG(01)gq [self-dual general relativity with topological term]; Smolin & Starodubtsev ht/03 [larger theory].
@ Variations: Mitskievich et al a0706-in [with topological invariants for coefficients]; > s.a. 3D gravity and 3D quantum gravity [topologically massive theory].

Topological Group
$ Def: A group G such that the map m: G × GG by m(g,h) = gh is continuous (this combines requirements on the product and the inverse).
* Properties: Its fundamental group is always commutative.
* Amenable topological group: G is amenable if there is a positive G-invariant functional A (a "measure") on the Banach space of bounded Borel measurable functions on G such that A(1G) = 1; For example, SO(3) is not amenable wrt the discrete topology, but it is as a compact Lie group; SO(n,1) is not amenable; Local gauge groups also have topologies different from their natural ones wrt which they are amenable.
@ General references: Pontrjagin 66; Greenleaf 69 [means].
@ Amenable: Pier 84; Carey & Grundling LMP(04)mp [gauge groups].
@ Generalizations: Arhangel'skii & Reznichenko T&A(05) [paratopological and semitopological groups]; Hernández & Tkachenko T&A(06) [pseudocompact quasitopological groups].

Topological Manifold > see types of manifolds.

Topological Particle Theory
@ References: Finkler & Jones PRD(85); Jones & Finkler PRD(85).

Topological Semigroup > see Semigroup.

Topological Space > s.a. types of topological spaces; topology in physics.

Topological Tangent Bundle
$ Def: A neighborhood of the diagonal in M M.
@ References: Milnor Top(64).

Topological Vector Space > see vectors.

Topology Change > s.a. dynamical models.

Topology > s.a. topology of the universe; topology in physics.

Topos Theory > s.a. history of mathematics.
* Idea: A branch of category theory, which generalizes set theory.
* And physics: Constructing a theory of physics is equivalent to finding a representation in a topos of a certain formal language that is attached to the system; For example, classical physics uses the topos of sets, while other theories involve a different topos; Used to assign values to quantities in quantum theory (Isham & Butterfield).
@ General references: Bell 88; Wyler 91; MacLane & Moerdijk 92; Nishimura IJTP(96) [quantization].
@ And physics in general: Doering & Isham a0803-in ["what is a thing?"]; Tsatsos a0803-dipl.
@ And gravity / geometry: Grinkevich gq/96; Guts & Grinkevich gq/96; Isham & Butterfield FP(00)gq/99-in; Raptis gq/01-in [review]; Zafiris FP(04), IJGMP(06) [quantum events]; Król FP(06), IJGMP(07); Döring & Isham JMP(08)qp/07, JMP(08)qp/07, JMP(08)qp/07, JMP(08)qp/07; Raptis IJTP(07); Król a0804-FP [and the cosmological constant]; > s.a. causal sets, quantum spacetime.
@ And quantum mechanics: Isham & Butterfield IJTP(98), Butterfield & Isham IJTP(99)qp/98, Hamilton et al IJTP(00)qp/99, Butterfield & Isham IJTP(02)qp/01 [Kochen-Specker]; Isham & Butterfield FP(00) [and quantum gravity]; Fearns qp/02/IJTP; Heunen & Spitters a0709 [algebraic quantum mechanics]; Doering a0712-in [rev]; > s.a. interpretations [modal], state vector reduction.

Torsion Invariant of a Manifold > see 3D manifolds.

Torsion Subgroup of an Abelian Group > see group types.

Torsion Tensor > s.a. torsion in physical theories.

Tortoise Coordinate > s.a. schwarzschild geometry.
$ Def: The coordinate r*:= r + 2M log(r/2M – 1) used for Schwarzschild spacetime as part of the Eddington-Finkelstein coordinates, or in the Kruskal Extension.

Torus > see differentiable manifolds.

Totally Disconnected Space > see connectedness.

Totally Geodesic Mapping > s.a. harmonic map [especially, condition on f].
$ Def: A mapping f : MN between metric manifolds, such that all M-geodesics are mapped to N-geodesics.

Totally Geodesic Submanifold
$ Def: A submanifold M of a manifold N such that a geodesic which is tangent to M at a point lies entirely in M.

Totally Vicious Spacetime > see types of spacetimes.

Trace-Class Operator > see operator theory.

Trace Formulas > s.a. quantum chaos.
* Idea: Formulas that establish links (dualities) between the energy spectra in the quantum description of a system and the spectrum of actions of periodic orbits in the Newtonian description; The dualities hold for chaotic as well as for integrable systems.
@ General references: Cohen et al AP(98) [and spectrum statistics]; Primack & Smilansky JPA(98), Smilansky JPA(00) [semiclassical]; Sugita AP(01) [and phase space path integrals].
@ Selberg's: Marklof m.SP/04-ln [intro].

Trajectories > s.a. orbits of gravitating bodies, in newtonian gravity, of test bodies.
* In classical mechanics: They can be obtained from the least action variational principle (> s.a. classical mechanics).
* In quantum mechanics: Trajectory-based approaches include the de Broglie-Bohm and Nelson's stochastic interpretations; > s.a. pilot wave.
@ Quantum: Cufaro Petroni & Vigier FP(92) [and interference]; Griffiths PRL(93); Wiseman QSO(96)qp/03 [and measurement]; Yamada PRA(96) [probabilities]; Holland FP(98), PRA(99); Floyd qp/00-in; Hiley et al qp/00; Bouda & Djama PS(02)qp/01; Brun AJP(02) [models]; Steinberg qp/03-in [and measurement]; Hall JPA(04) [incompleteness of trajectory-based interpretations]; Moser AP(08); > s.a. ergodic theory, experiments.
@ From wave equations: Orefice et al a0705 [Helmholtz-like equations in electromagnetism and quantum mechanics].

Transcendental Functions
@ References: Yukalov & Yukalova PLA(07) [method of self-similar factor approximants].

Transcendental Number > see numbers.

Transition Function > see fiber bundles.

Transition Matrix > see S-Matrix.

Transitive Action of a Group on a Manifold > see group action.

Transitive Relation > see Relation.

Translation > see gauge theories [translational symmetry].

Transmission > see wave phenomena.

Transport > s.a. chaos [anomalous]; graphs; networks.
* Idea: A non-equilibrium (but possibly steady-state) statistical mechanics process in which there is a net flow of some quantity inside a system; Examples are heat flow, electric conduction, diffusion.
@ Methods: Desloge AJP(64), AJP(64) [coefficients from Boltzmann equation]; Mackay et al PhyD(84) [in Hamiltonian systems]; Arlotti et al m.AP/06 [semigroups]; Keanini PRS(07) [based on random walk]; Rossani PhyA(07) [electrons and phonons, integral equations for transport coefficients].
@ Turbulent: Bakunin PhyA(05) [weak compressibility, percolation approach].
@ Random medium: Panasyuk et al JPA(06)mp/05 [homogeneous]; Corngold JSP(05) [and diffusion].
@ Quantum: Rau & Müller PRP(96) [irreversible]; Rammer 04 [disordered conductors, localization, ...].
> Related topics: see Boltzmann Equation; Conductivity; diffusion; Kadanoff-Baym; Percolation; Viscosity.

Transversality Theory
@ References: in Banyaga & Hurtubise 04.

Transverse Gauge in General Relativity > see gauge.

Trapped Surface
* Idea: A compact spacelike 2-surface without boundary, such that both families of null geodesics orthogonal to it (incoming and outgoing) converge, for each point on the surface; Used in singularity theorems.
@ General references: Clarke CQG(88); Beig & Ó Murchadha PRL(91), CQG(94); Malec & Ó Murchadha PRD(94)gq [spherical symmetry], PRD(96)gq/95 [cosmological]; Iriondo et al PRD(96) [asymptotically flat, spherical]; Senovilla JHEP(03)ht [not with vanishing curvature scalars], gq/03-in, m.DG/04-in [trapped submanifold]; Mitra gq/05 [occurrence]; Krishnan a0712-in [review, isolated-dynamical horizons and applications].
@ Criteria for formation: Bizon et al CQG(89) [spherical symmetry]; Mitra gq/98 [spherical]; Andersson et al PRL(05).
@ And event horizons: Claudel gq/00; Dafermos CQG(05)gq/04 [spherical, and ].
@ Related topics: Ellis GRG(03)gq [compact cosmology]; Dain CQG(04)gq/03 [as inner boundary for constraints].
> Examples: see Vaidya Spacetime.

Traveling Waves > see wave equations.

Tree > see graph.

Tree Diagram > see quantum field theory formalism.

Triangle > see simplex.

Triangle Inequality > see inequalities.

Triangulable Topological Space
$ Def: A topological space X homeomorphic to some polyhedron K.
* Remark: The polyhedron K (which is not unique) is a triangulation of X.
* Example: Every paracompact manifold is triangulable [@ Whitehead AM(40)].

Triangular Number > see number theory.

Triangulation > s.a. simplices [triangles]; statistical geometry [random and computational]; tiling [including physics].
$ Def: A simplicial complex that covers (is homeomorphic to) a manifold; A special case of tiling.
* Pseudo-triangulation: A partition of (the convex hull of a point set S in) the manifold into interior-disjoint pseudo-triangles (whose vertices are points of S).
@ General references: Lackenby G&T(00)m.GT [3D, taut]; Jaco & Rubinstein JDG(03) [3D, 0-efficient].
@ Statistics, enumeration: Aste JPA(98); Dumitrescu et al CG(01) [enumerating paths]; Bespamyatnikh CG(02); Aichholzer et al CG(04) [number of triangulations on a set of points in flat 2D].
@ Of spheres: King G&T(01) [of S3 with given link]; Brinkmann & McKay DM(05) [of S2, minimum degree 5].
@ Different triangulations on same space: Ontaneda Top(02) [space with non-equivalent triangulations]; Pournin & Liebling CG(07) [paths in the flip-graph of triangulations]; Wilson T&A(07) [convergence of cochain algebra under refinement].
@ As a dynamical system: Collet & Eckmann JSP(05)mp/04, Eckmann JSP(07) [triangulations of S2].
@ Pseudo-triangulations: Aichholzer et al CG(04); Bereg CG(05) [of the plane]; Orden et al DM(07) [and rigid planar graphs].
@ Combinatorial aspects: Bagchi & Datta DM(05); > s.a. cell complex; graphs and graph types.
> Related structures: see connection; distances [on set of triangulations of M].

Trigonometry

Trinion
$ Def: A 3-punctured sphere.

Triple-Slit Interference > see pilot wave interpretation.

Triplectic Quantization > see quantization of constrained systems.

Triplet > see hilbert space [rigged].

Trivialization, Local (Of a fiber bundle)
$ Def: Given a fiber bundle with base space B and fiber F, and a covering {Ui} of B, a trivialization is an assignment, for each j, of a map j: –1(Uj) → Uj F, which is a homeomorphism.

Trojan State > see quantum states.

Trouton-Noble Paradox
* Idea: There is a 3D torque T in an inertial frame S in which a thin parallel-plate capacitor is moving, but there is no 3D torque T' in S', the rest frame of the capacitor.
@ References: in Panofsky & Phillips 62; Ivezic FP(07).

Truth > s.a. Explanation.
@ References: Margenau PhSc(34) [flexibility].

Tsallis Non-Extensive Entropy, Statistics > see critical phenomena; generalized thermodynamics; entropy; statistical mechanics.

Tsirelson Bound (a.k.a. Cirel'son Bound) > see correlations.

Tunneling

Turaev-Viro Theory > see spin foam models.

Turbulence

Turing Machine > s.a. computation.
@ References: Turing PLMS(36); Fouché et al qp/07, Iriyama et al PLA(08) [quantum].

12j Symbols > see SU(2); spin foam.

Twin Paradox > see special relativistic kinematics.

Twist of a Vector Field > see vector field.

Twistors

Two-Body Problem > see classical systems; orbits of gravitating bodies.

Two-Point Function > see correlations [correlation function]; green function.

Tychonoff Space > see types of topological spaces.

Tychonoff Theorem > see compactness.

Type Theory
@ References: [wikipedia]; Kamareddine et al 04 [overview].


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