Strong paracompactness and multi-selections |
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| Authors: | Valentin Gutev Takamitsu Yamauchi |
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| Affiliation: | a School of Mathematical Sciences, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa
b Department Mathematics and Computer Science, Shimane University, Matsue, 690-8504, Japan |
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| 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. |
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| Keywords: | primary, 54C60, 54C65 secondary, 54D20, 54F45 |
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