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arxiv: 1904.08902 · v1 · pith:RX7OCFDGnew · submitted 2019-04-18 · 🧮 math.GN

Topological spaces with the Freese--Nation property II

classification 🧮 math.GN
keywords spacespropertygeneratedbaseclasscompactconsistingcozero-sets
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The aim of this paper is to study the class of spaces with the FNS property and $\pi-\FNS$ property. We shown that compact spaces with the FNS property for some base consisting of cozero-sets are openly generated spaces and spaces with the $\pi-\FNS$ property are skeletally generated spaces.

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