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 language | English |
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Pages (from-to) | 129-134 |
Number of pages | 6 |
Journal | Topology and its Applications |
Volume | 136 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - 28 Jan 2004 |
ASJC Scopus subject areas
- Geometry and Topology