arXiv:0903.3514 Abstract | arXiv Analytics

arXiv:0903.3514 [math.GN]Abstract References Reviews Resources

Selections, Paracompactness and Compactness

Mitrofan M. Choban, Ekaterina P. Mihaylova, Stoyan I. Nedev

Published 2009-03-20Version 1

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.

Comments: 23 pages

Categories: math.GN

Subjects: 54C60, 54C65, 54D20

Keywords: selections, paracompactness, lindelof number, cozero-dimensional kernel, paracompact spaces

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