Relations Between a Topological Game and the $G_{\delta}$-diagonal property

Leandro F. Aurichi; Dione A. Lara

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arXiv · 1602.07002

Relations Between a Topological Game and the $G_{\delta}$-diagonal property

Leandro F. Aurichi·Dione A. Lara

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Abstract

We present a selection principle $S_1(\mathcal{O},\mathcal{H})$ that characterizes the $G_{\delta}$-diagonal property. We also present a topological game induced by this selection principle and we study the relations between this game and the $G_{\delta}$-property. Finally, we give some applications and examples.

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Leandro F. Aurichi, Dione A. Lara. 2016-02-23. Relations Between a Topological Game and the $G_{\delta}$-diagonal property. https://arxiv.org/abs/1602.07002

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