Monotonically normal topological vector spaces are stratifiable

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Abstract

We prove that for any Hausdorff topological vector space E over the field R there exists A subset of E such that E is homeomorphic to a subset of A x R and A x R is homeomorphic to a subset of E. Using this fact we prove that E is monotonically normal if and only if E is stratifiable.
Original languageEnglish
Pages (from-to)129-134
Number of pages6
JournalTopology and its Applications
Volume136
Issue number1-3
DOIs
Publication statusPublished - 28 Jan 2004

ASJC Scopus subject areas

  • Geometry and Topology

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