Inverse systems and I-favorable spaces |
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Affiliation: | Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland |
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Abstract: | We show that a compact space is I-favorable if, and only if it can be represented as the limit of a σ-complete inverse system of compact metrizable spaces with skeletal bonding maps. We also show that any completely regular I-favorable space can be embedded as a dense subset of the limit of a σ-complete inverse system of separable metrizable spaces with skeletal bonding maps. |
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