Relations Between a Topological Game and the GδG_δ-diagonal property

preprint2016arXivOpen access

Abstract

We present a selection principle S1(O,H)S_1(\mathcal{O},\mathcal{H}) that characterizes the GδG_δ-diagonal property. We also present a topological game induced by this selection principle and we study the relations between this game and the GδG_δ-property. Finally, we give some applications and examples.

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