- 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...
- (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...
- In
functional analysis and
related areas of mathematics, a
metrizable (resp. pseudometrizable)
topological vector space (TVS) is a TVS
whose topology is...
- of
metrizability", J. Inst. Polytech.
Osaka City Univ. Ser. A. 1 (1950), 93–100. Y. Smirnov, "A
necessary and
sufficient condition for
metrizability of...
- on a
topological space,
requiring only a
separation axiom to
imply metrizability. A continuous, open
image of a second-countable
space is second-countable...
- if it is
metrizable with a
separable and
complete metric.
Locally metrizable. A
space is
locally metrizable if
every point has a
metrizable neighbourhood...
- In mathematics,
topological groups are the
combination of
groups and
topological spaces, i.e. they are
groups and
topological spaces at the same time,...
-
topological manifold that is not
metrizable nor paracompact.
Since metrizability is such a
desirable property for a
topological space, it is
common to...
- Many
properties of TVSs that are studied, such as
local convexity,
metrizability, completeness, and normability, are
invariant under TVS isomorphisms...
-
completely metrizable (often
called (metrically)
topologically complete), or that it is Čech-complete (a
property coinciding with
completely metrizability on...
