- In
topology and
related areas of mathematics, a
metrizable space is a
topological space that is
homeomorphic to a
metric space. That is, a topological...
- of
metrizability", J. Inst. Polytech.
Osaka City Univ. Ser. A. 1 (1950), 93–100. Y. Smirnov, "A
necessary and
sufficient condition for
metrizability of...
- (instead, it is a
subcategory of the
category of
metric spaces).
Complete metrizability is a
topological property while completeness is a
property of the metric...
- if it is
metrizable with a
separable and
complete metric.
Locally metrizable. A
space is
locally metrizable if
every point has a
metrizable neighbourhood...
- Many
properties of TVSs that are studied, such as
local convexity,
metrizability, completeness, and normability, are
invariant under TVS isomorphisms...
- In
functional analysis and
related areas of mathematics, a
metrizable (resp. pseudometrizable)
topological vector space (TVS) is a TVS
whose topology is...
-
Banach spaces are
exactly those complete spaces that are both
metrizable and have
metrizable strong dual spaces.
Every normed space can be isometrically...
- In mathematics,
topological groups are the
combination of
groups and
topological spaces, i.e. they are
groups and
topological spaces at the same time,...
- In
graph theory, a Trémaux tree of an
undirected graph G {\displaystyle G} is a type of
spanning tree,
generalizing depth-first
search trees. They are...
- 1,\ldots )}
converges to both 0 and 1. The Sierpiński
space S is not
metrizable or even
pseudometrizable since every pseudometric space is completely...
