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Comparing weak versions of separability

2012/10/17 by Soukup, Daniel T., Soukup, Lajos, Spadaro, Santi
#54B10 #54C35 #54D65 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1210.4986

Abstract

Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the differences between these classes while answering questions of Tkachuk [30], Hutchinson [17] and the authors of [8].

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