Selections, Paracompactness and Compactness

Choban, Mitrofan M., Mihaylova, Ekaterina P., and Nedev, Stoyan I.. "Selections, Paracompactness and Compactness." Serdica Mathematical Journal 35.4 (2010): 299-328. <http://eudml.org/doc/281467>.

@article{Choban2010,
abstract = {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.},
author = {Choban, Mitrofan M., Mihaylova, Ekaterina P., Nedev, Stoyan I.},
journal = {Serdica Mathematical Journal},
keywords = {Set-Valued Mapping; Selection; Cozero-Dimensional Kernel; Compactness Degree; Lindelöf Number; Paracompact Space; Shrinking},
language = {eng},
number = {4},
pages = {299-328},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Selections, Paracompactness and Compactness},
url = {http://eudml.org/doc/281467},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Choban, Mitrofan M.
AU - Mihaylova, Ekaterina P.
AU - Nedev, Stoyan I.
TI - Selections, Paracompactness and Compactness
JO - Serdica Mathematical Journal
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 4
SP - 299
EP - 328
AB - 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.
LA - eng
KW - Set-Valued Mapping; Selection; Cozero-Dimensional Kernel; Compactness Degree; Lindelöf Number; Paracompact Space; Shrinking
UR - http://eudml.org/doc/281467
ER -