Weakly closed multifunctions and paracompactness

The purpose of the present paper is to investigate weakly closed multifunctions between topological spaces. We discuss basic properties of weakly closed multifunctions and some results of Rose and Janković are extended. Our main theorems are concerning some properties of paracompactness under weakly...

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Main Author: Cao Ji-Ling
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000419
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author Cao Ji-Ling
author_facet Cao Ji-Ling
author_sort Cao Ji-Ling
collection DOAJ
description The purpose of the present paper is to investigate weakly closed multifunctions between topological spaces. We discuss basic properties of weakly closed multifunctions and some results of Rose and Janković are extended. Our main theorems are concerning some properties of paracompactness under weakly closed multifunctions. These theorems are generalizations of some results due to Kovaćević and Singal.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1993-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-806cf06cbca642628ebcb46267e3c9b42025-02-03T01:30:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116234535010.1155/S0161171293000419Weakly closed multifunctions and paracompactnessCao Ji-Ling0Department of Mathematics, Tianjin University, Tianjin 300072, ChinaThe purpose of the present paper is to investigate weakly closed multifunctions between topological spaces. We discuss basic properties of weakly closed multifunctions and some results of Rose and Janković are extended. Our main theorems are concerning some properties of paracompactness under weakly closed multifunctions. These theorems are generalizations of some results due to Kovaćević and Singal.http://dx.doi.org/10.1155/S0161171293000419almost closed multifunctionweakly closed multifunction paracompactalmost paracompactnearly paracompact𝔐-paracompactα-paracompactα-𝔐-paracompact.
spellingShingle Cao Ji-Ling
Weakly closed multifunctions and paracompactness
International Journal of Mathematics and Mathematical Sciences
almost closed multifunction
weakly closed multifunction
paracompact
almost paracompact
nearly paracompact
𝔐-paracompact
α-paracompact
α-𝔐-paracompact.
title Weakly closed multifunctions and paracompactness
title_full Weakly closed multifunctions and paracompactness
title_fullStr Weakly closed multifunctions and paracompactness
title_full_unstemmed Weakly closed multifunctions and paracompactness
title_short Weakly closed multifunctions and paracompactness
title_sort weakly closed multifunctions and paracompactness
topic almost closed multifunction
weakly closed multifunction
paracompact
almost paracompact
nearly paracompact
𝔐-paracompact
α-paracompact
α-𝔐-paracompact.
url http://dx.doi.org/10.1155/S0161171293000419
work_keys_str_mv AT caojiling weaklyclosedmultifunctionsandparacompactness