Semilocal connectedness of product spaces and s-continuity of maps

We consider the problem of the transfer of semilocal connectedness from factors to the product space and vice versa. Some sufficient conditions are given under which the product of semilocally connected spaces is semilocally connected. Obtained theorems are not invertible, suitable examples are give...

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Main Author: Janina Ewert
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200002337
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author Janina Ewert
author_facet Janina Ewert
author_sort Janina Ewert
collection DOAJ
description We consider the problem of the transfer of semilocal connectedness from factors to the product space and vice versa. Some sufficient conditions are given under which the product of semilocally connected spaces is semilocally connected. Obtained theorems are not invertible, suitable examples are given.
format Article
id doaj-art-76de3fc19fa94154bd96bdd7c3802357
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-76de3fc19fa94154bd96bdd7c38023572025-02-03T05:51:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124425726410.1155/S0161171200002337Semilocal connectedness of product spaces and s-continuity of mapsJanina Ewert0Department of Mathematics, Pedagogical University, Arciszewskiego 22b, Słupsk 76-200, PolandWe consider the problem of the transfer of semilocal connectedness from factors to the product space and vice versa. Some sufficient conditions are given under which the product of semilocally connected spaces is semilocally connected. Obtained theorems are not invertible, suitable examples are given.http://dx.doi.org/10.1155/S0161171200002337Semilocally connected space multivalued maps-continuity.
spellingShingle Janina Ewert
Semilocal connectedness of product spaces and s-continuity of maps
International Journal of Mathematics and Mathematical Sciences
Semilocally connected space
multivalued map
s-continuity.
title Semilocal connectedness of product spaces and s-continuity of maps
title_full Semilocal connectedness of product spaces and s-continuity of maps
title_fullStr Semilocal connectedness of product spaces and s-continuity of maps
title_full_unstemmed Semilocal connectedness of product spaces and s-continuity of maps
title_short Semilocal connectedness of product spaces and s-continuity of maps
title_sort semilocal connectedness of product spaces and s continuity of maps
topic Semilocally connected space
multivalued map
s-continuity.
url http://dx.doi.org/10.1155/S0161171200002337
work_keys_str_mv AT janinaewert semilocalconnectednessofproductspacesandscontinuityofmaps