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Selections, Paracompactness and Compactness

2009/03/20 by Mitrofan M. Choban, Choban, Mitrofan M., Ekaterina Mihaylova +4
Computer Science · Mathematics · #54C60 #54C65 #54D20 #54D30. #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #Mathematical and Theoretical Analysis #math.GN #msc:54C60 #msc:54C65 #msc:54D20 #msc:54D30.

paper · pdf · doi:10.48550/arxiv.0903.3514

23 pages

arxiv created 2009/03/20 · openalex publication_date 2009/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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