Very I-favorable spaces |
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| Authors: | A. Kucharski Sz. Plewik |
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| Affiliation: | a Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland
b Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, P.O. Box 5002, North Bay, ON, P1B 8L7, Canada |
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| Abstract: | We prove that a Hausdorff space X is very 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 I-favorable spaces with respect to the co-zero sets coincides with the d-openly generated spaces. |
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| Keywords: | primary, 54B35, 91A44 secondary, 54C10 |
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