Combinatorial properties on nodec countable spaces with analytic topology

Combinatorial properties on nodec countable spaces with analytic topology

We study some variations of the product topology on families of clopen subsets of 2N×N in order to construct countable nodec regular spaces (i.e. in which every nowhere dense set is closed) with analytic topology which in addition are not selectively separable and do not satisfy the combinatorial pr...

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Veröffentlicht in:Topology and its applications 2020-03, Vol.272, p.107066, Article 107066
Hauptverfasser: Murgas, Javier, Uzcátegui, Carlos
Format: Artikel
Sprache:eng
Schlagworte:
Analytic sets
formula omitted
Nodec countable spaces
Selective separability
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Zusammenfassung:We study some variations of the product topology on families of clopen subsets of 2N×N in order to construct countable nodec regular spaces (i.e. in which every nowhere dense set is closed) with analytic topology which in addition are not selectively separable and do not satisfy the combinatorial principle q+.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2020.107066