Very I-favorable spaces

2010/11/16 by A. Kucharski, Kucharski, A., Sz. Plewik +3
Mathematics · #FOS: Mathematics #General Topology (math.GN) #math.GN

paper · pdf · doi:10.48550/arxiv.1011.3586

14 pages

arxiv created 2010/11/16 · arxiv updated 2010/11/17

Abstract

We prove that a Hausdorff space X is very \mathrm I-favorable if and only if X is the almost limit space of a σ-complete inverse system consisting of (not necessarily Hausdorff) second countable spaces and surjective d-open bonding maps. It is also shown that the class of Tychonoff very \mathrm I-favorable spaces with respect to the co-zero sets coincides with the d-openly generated spaces.

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