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arXiv · 1501.06734

Game theoretic approach to skeletally Dugundji and Dugundji spaces

Andrzej Kucharski·Szymon Plewik·Vesko Valov
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Abstract

Characterizations of skeletally Dugundji spaces and Dugundji spaces are given in terms of club collections, consisting of countable families of co-zero sets. For example, a Tychonoff space $X$ is skeletally Dugundji if and only if there exists an additive $c$-club on $X$. Dugundji spaces are characterized by the existence of additive $d$-clubs.

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Andrzej Kucharski, Szymon Plewik, Vesko Valov. 2015-01-27. Game theoretic approach to skeletally Dugundji and Dugundji spaces. https://doi.org/10.1016/j.topol.2015.12.037

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