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arXiv · 1809.07745

Constructing Selections Stepwise Over Skeletons of Nerves of Covers

Valentin Gutev
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Abstract

It is given a simplified and self-contained proof of the classical Michael's finite-dimensional selection theorem. The proof is based on approximate selections constructed stepwise over skeletons of nerves of covers. The method is also applied to simplify the proof of the Schepin--Brodsky's generalisation of this theorem.

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Valentin Gutev. 2018-09-20. Constructing Selections Stepwise Over Skeletons of Nerves of Covers. https://arxiv.org/abs/1809.07745

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