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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Language: | English |
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Wiley
1993-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-806cf06cbca642628ebcb46267e3c9b4 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1993-01-01 |
publisher | Wiley |
record_format | Article |
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 |