Selections, Paracompactness and Compactness


Autoria(s): Choban, Mitrofan M.; Mihaylova, Ekaterina P.; Nedev, Stoyan I.
Data(s)

22/07/2016

22/07/2016

2010

Resumo

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.

Identificador

Serdica Mathematical Journal, Vol. 35, No 4, (2010), 299p-328p

1310-6600

http://hdl.handle.net/10525/2708

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Set-Valued Mapping #Selection #Cozero-Dimensional Kernel #Compactness Degree #Lindelöf Number #Paracompact Space #Shrinking
Tipo

Article