- mathematics,
Tychonoff spaces and
completely regular spaces are
kinds of
topological spaces.
These conditions are
examples of
separation axioms. A
Tychonoff space...
- In mathematics,
Tychonoff's theorem states that the
product of any
collection of
compact topological spaces is
compact with
respect to the
product topology...
- In mathematics, more
specifically in
general topology, the
Tychonoff cube is the
generalization of the unit cube from the
product of a
finite number of...
-
Tikhonov (Russian: Ти́хонов; masculine),
sometimes spelled as
Tychonoff, or
Tikhonova (Ти́хонова; feminine) is a
Russian surname that is
derived from...
- In topology, the
Tychonoff plank is a
topological space defined using ordinal spaces that is a
counterexample to
several plausible-sounding conjectures...
-
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...
-
spaces are normal; In particular, the Stone–Čech
compactification of a
Tychonoff space is
normal Hausdorff;
Generalizing the
above examples, all paracompact...
- of
Tychonoff spaces is
Tychonoff. A
product of
normal spaces need not be normal.
Compactness Every product of
compact spaces is
compact (
Tychonoff's theorem)...
-
conjecture for the
general case was
published in the
Scottish book. In 1934,
Tychonoff proved the
theorem for the case when K is a
compact convex subset of a...
- the
separation axioms.
These are
sometimes called Tychonoff separation axioms,
after Andrey Tychonoff. The
separation axioms are not
fundamental axioms...
