On the free set number of topological spaces and their \(G_\delta \)-modifications

DOI10.1016/j.topol.2021.107793zbMath1479.54021arXiv2004.13423OpenAlexW3185266308MaRDI QIDQ2665213

Zoltán Szentmiklóssy, István Juhász, Lajos Soukup

Publication date: 18 November 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13423

zbMATH Keywords

free setcardinal function\( G_\delta \)-modificationfree set number

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

Related Items (2)

Spaces of countable free set number and PFA ⋮ Large strongly anti-Urysohn spaces exist

Cites Work

• Unnamed Item
• A short proof of a theorem of Juhász
• The topology of elementary submodels
• Upper bounds for the tightness of the \(G_\delta\)-topology
• Cardinal Invariants for the $G_\delta $ topology

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