Title of article
Strong paracompactness and multi-selections
Author/Authors
Gutev، نويسنده , , Valentin and Yamauchi، نويسنده , , Takamitsu، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2010
Pages
9
From page
1430
To page
1438
Abstract
We characterize strong paracompactness in terms of usco multi-selections for closed-valued lower semi-continuous mappings into completely metrizable spaces, thus generalizing recent results obtained by Choban, Mihaylova and Nedev [M. Choban, E. Mihaylova, S. Nedev, On selections and classes of spaces, Topology Appl. 155 (2008) 797–804]. Related results and applications are achieved as well.
Keywords
Set-Valued Mapping , Strong paracompactness , upper semi-continuous , Multi-selection , Tree , branch , Lower semi-continuous
Journal title
Topology and its Applications
Serial Year
2010
Journal title
Topology and its Applications
Record number
1582536
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