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arXiv · 1902.03267

Constructing Selections Stepwise Over Cones of Simplicial Complexes

Valentin Gutev
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Abstract

It is obtained a natural generalisation of Uspenskij's selection characterisation of paracompact $C$-spaces. The method developed to achieve this result is also applied to give a simplified proof of a similar characterisation of paracompact finite $C$-space obtained previously by Valov. Another application is a characterisation of finite-dimensional paracompact spaces which generalises both a remark done by Michael and a result obtained by the author.

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Valentin Gutev. 2019-02-08. Constructing Selections Stepwise Over Cones of Simplicial Complexes. https://arxiv.org/abs/1902.03267

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