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mathematics, more specifically in general topology, the Tychonoff cube is the generalization of the unit cube from the product of a finite number of unit intervals...

mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space...

n-dimensional space. Doubling the cube K-cell Robbins constant, the average distance between two random points in a unit cube Tychonoff cube, an infinite-dimensional...

spaces, the Hilbert cube is itself a compact Hausdorff space as a result of the Tychonoff theorem. The compactness of the Hilbert cube can also be proved...

method in geophysics. Other transliterations of his surname include "Tychonoff", "Tychonov", "Tihonov", "Tichonov". Born in Gzhatsk, he studied at the...

example, they are Hausdorff paracompact spaces (and hence normal and Tychonoff) and first-countable. However, some properties of the metric, such as...

it is also a Tychonoff space. For this reason, examples of Hausdorff spaces that fail to be locally compact because they are not Tychonoff spaces can be...

space T1 space Hausdorff space Completely Hausdorff space Regular space Tychonoff space Normal space Urysohn's lemma Tietze extension theorem Paracompact...

compact Hausdorff space factors through βX (in a unique way). If X is a Tychonoff space then the map from X to its image in βX is a homeomorphism, so X...

Double-pointed cofinite topology Ordinal number topology Pseudo-arc Ran space Tychonoff plank Discrete two-point space − The simplest example of a totally disconnected...

Michael's product topology Tychonoff plank Deleted Tychonoff plank Alexandroff plank Dieudonné plank Tychonoff corkscrew Deleted Tychonoff corkscrew Hewitt's...

covering dimension can be extended from the class of normal spaces to all Tychonoff spaces merely by replacing the term "open" in the definition by the term...

and shy sets. The Hilbert cube carries the product Lebesgue measure and the compact topological group given by the Tychonoff product of an infinite number...

Turán–Kubilius theorem (number theory) Tverberg's theorem (discrete geometry) Tychonoff's theorem (general topology) Ugly duckling theorem (computer science) Uncountability...

Troxler's effect/fading – Ignaz Paul Vital Troxler Tychonoff space – Andrey Nikolayevich Tychonoff Tyndall effect/scattering – John Tyndall Ulam conjecture...

set X consists of precisely the empty set and the entire space X. Tychonoff A Tychonoff space (or completely regular Hausdorff space, completely T3 space...

algebra is a compact Hausdorff space. The Hilbert cube is compact, again a consequence of Tychonoff's theorem. A profinite group (e.g. Galois group) is...

identical topological properties, and are considered topologically the same. The cube and the sphere are homeomorphic, as are the coffee cup and the doughnut....

compact spaces gives a second proof that Cantor space is compact, via Tychonoff's theorem. From the above characterization, the Cantor set is homeomorphic...