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arXiv:1901.09371 [math.GN]AbstractReferencesReviewsResources

Topological games of bounded selections

Leandro F. Aurichi, Matheus Duzi

Published 2019-01-27Version 1

We present a new variation of the classical selection principles $\mathsf{S}_\mathrm{k}(\mathcal A, \mathcal B)$ ($k\in\mathbb N$) and $\mathsf{S}_\mathrm{fin}(\mathcal A, \mathcal B)$ that lies between these two properties. Just like with the classical selection principles, we also obtain a new variation of topological games and discuss how new topological properties may emerge in the covering and tightness cases.

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