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dc.contributor.author | Medvedev S.V. | en |
dc.date.accessioned | 2018-10-15T11:17:39Z | |
dc.date.available | 2018-10-15T11:17:39Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1668641 | |
dc.identifier.uri | http://dspace.susu.ru/handle/0001.74/20040 | |
dc.description.abstract | We describe how to assign an h-homogeneous space b(X, k) with a dense complete subspace and of weight k to any strongly zero-dimensional metric space X of weight ≤k. We investigate the properties of such spaces and obtain the conditions when b(X1, k) is homeomorphic to b(X2, k). The h-homogeneous separable space T which is a union of B(ω) and a countable subspace was constructed by E. van Douwen. Similarly, the h-homogeneous separable space S which is a union of B(ω) and a σ-compact subspace was described by J. van Mill. These spaces are generalized for the non-separable case. We prove that if IndX=0 and X=G∪L, where G is an absolute Gδ and L is of first category, then Xω is an h-homogeneous space. We consider certain cases when A×Xω is homeomorphic to Xω providing A⊂Xω. © 2011 Elsevier B.V. | en] |
dc.language.iso | English | |
dc.relation.ispartof | Topology and its Applications | en] |
dc.title | On properties of h-homogeneous spaces with the Baire property | en |
dc.type | Article | en] |
dc.identifier.doi | 10.1016/j.topol.2011.10.016 | |
dc.identifier.scopus | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84455208247&doi=10.1016%2fj.topol.2011.10.016&partnerID=40&md5=0c0110c1306de91f3ee86d4d25a389f3 |