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searching for Metrizable topological vector space 3 found (24 total)

alternate case: metrizable topological vector space

Completely metrizable space (749 words) [view diff] exact match in snippet view article find links to article

induces its topology. This implies e. g. that every completely metrizable topological vector space is complete. Indeed, a topological vector space is called

Retraction (topology) (2,642 words) [view diff] exact match in snippet view article

contractible and an ANR. By Dugundji, every locally convex metrizable topological vector space V {\textstyle V} is an AR; more generally, every nonempty

Polar topology (6,895 words) [view diff] exact match in snippet view article find links to article

c(X',X)} is complete. Suppose that X {\displaystyle X} is a metrizable topological vector space and that W ′ ⊆ X ′ . {\displaystyle W'\subseteq X'.} If the