English

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

General Topology 2016-11-23 v2

Abstract

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

Keywords

Cite

@article{arxiv.1602.07002,
  title  = {Relations Between a Topological Game and the $G_{\delta}$-diagonal property},
  author = {Leandro F. Aurichi and Dione A. Lara},
  journal= {arXiv preprint arXiv:1602.07002},
  year   = {2016}
}