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arXiv · 0903.3514

Selections, Paracompactness and Compactness

Mitrofan M. Choban·Ekaterina P. Mihaylova·Stoyan I. Nedev
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Abstract

In the present paper, the Lindelof number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces.

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Mitrofan M. Choban, Ekaterina P. Mihaylova, Stoyan I. Nedev. 2009-03-20. Selections, Paracompactness and Compactness. https://arxiv.org/abs/0903.3514

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