Strong paracompactness and multi-selections |
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| Authors: | Valentin Gutev Takamitsu Yamauchi |
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| Institution: | 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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