A description of the topology of free topological vector spaces

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Abstract

The free topological vector space (tvs) V(X) over a Tychonoff space X is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs V(X) over a uniform space X is given in [1]. In this note we give a similar but simpler and clearer description of the topology of free tvs V(X) over a Tychonoff space X.
Original languageEnglish
DOIs
StatePublished - 14 Apr 2018

Keywords

  • math.GN
  • 43A40, 54H11

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