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Continuous Selections and Finite C-Spaces

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Abstract

Characterization of paracompact finite C-spaces via continuous selections avoiding Z σ-sets are given. We apply these results to obtain some properties of finite C-spaces. Factorization theorems and a completion theorem for finite C-spaces are also proved.

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Valov, V. Continuous Selections and Finite C-Spaces. Set-Valued Analysis 10, 37–51 (2002). https://doi.org/10.1023/A:1014457120871

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