A characterization of free locally convex spaces over metrizable spaces which have countable tightness

S. S. Gabriyelyan

doi:10.32219/isms.78.2_201

A characterization of free locally convex spaces over metrizable spaces which have countable tightness

S. S. Gabriyelyan

Department of Mathematics

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Abstract

We prove that the free locally convex space $L(X)$ over a metrizable space $X$ has countable tightness if and only if $X$ is separable.

Original language	English
Journal	Scientiae Mathematicae Japonicae
Volume	78
Issue number	2
DOIs	https://doi.org/10.32219/isms.78.2_201
State	Published - 2015

Keywords

math.GN
46A03, 54A25, 54D50

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10.32219/isms.78.2_201

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abstract = "We prove that the free locally convex space \$L(X)\$ over a metrizable space \$X\$ has countable tightness if and only if \$X\$ is separable. ",

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A characterization of free locally convex spaces over metrizable spaces which have countable tightness

Abstract

Keywords

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