Selections, Paracompactness and Compactness

Details Selections, Paracompactness and Compactness Selections, Paracompactness and Compactness

2009-03-20

arxiv.org/abs/0903.3514v1

Mathematics

General Topology

23 pages

Scientific paper

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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