Monotonically normal topological vector spaces are stratifiable
| Data(s) |
28/01/2004
|
|---|---|
| Resumo |
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. |
| Identificador |
http://dx.doi.org/10.1016/S0166-8641(03)00216-5 http://www.scopus.com/inward/record.url?scp=0344082826&partnerID=8YFLogxK |
| Idioma(s) |
eng |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Shkarin , S 2004 , ' Monotonically normal topological vector spaces are stratifiable ' Topology and its Applications , vol 136 , no. 1-3 , pp. 129-134 . DOI: 10.1016/S0166-8641(03)00216-5 |
| Palavras-Chave | #/dk/atira/pure/subjectarea/asjc/2600/2608 #Geometry and Topology |
| Tipo |
article |
