Set-Valued Mapping Selection Cozero-Dimensional Kernel Compactness Degree Lindelöf Number Paracompact Space Shrinking
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 35, No 4, (2010), 299p-328p
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.