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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Format: | Article |
Language: | English |
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Wiley
2000-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/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 |