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arXiv · 1607.00297

Characterizing Corson and Valdivia compact spaces

F. Casarrubias-Segura·S. García-Ferreira·R. Rojas-Hernández
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Abstract

We give a new characterization of Valdivia compact spaces: A compact space is Valdivia if and only if it has a dense commutatively monotonically retractable subspace. This result solves Problem 5.12 from \cite{sal-rey}. Besides, we introduce the notion of full $c$-skeleton and prove that a compact space is Corson if and only if it has a full $c$-skeleton.

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F. Casarrubias-Segura, S. García-Ferreira, R. Rojas-Hernández. 2016-07-01. Characterizing Corson and Valdivia compact spaces. https://arxiv.org/abs/1607.00297

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