The strong Pytkeev^* property of topological spaces

2016/07/13 by Taras Banakh, Banakh, Taras
Mathematics · #54D70 #54E18 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54D70 #msc:54E18

paper · pdf · doi:10.48550/arxiv.1607.03599

9 pages. arXiv admin note: text overlap with arXiv:1412.4268

arxiv created 2016/08/27 · arxiv updated 2016/08/30

Abstract

Modifying the known definition of a Pytkeev network, we introduce a notion of Pytkeev^* network and prove that a topological space has a countable Pytkeev network if and only if X is countably tight and has a countable Pykeev^* network. In the paper we establish some stability properties of the class of topological spaces with the strong Pytkeev^*-property.

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