Selections, Paracompactness and Compactness
Choban, Mitrofan M., Mihaylova, Ekaterina P., Nedev, Stoyan I. (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30. In the present paper the Lindelöf 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.