New spaces and Continuity via ˆΩ-closed sets

In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such...

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Main Authors: M. Lellis Thivagar, M. Anbuchelvi
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2014-09-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/18193
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spelling doaj-5e5dcc1e636b4ed593246e330df27e6d2020-11-24T22:15:08ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882014-09-0132214316110.5269/bspm.v32i2.1819310143New spaces and Continuity via ˆΩ-closed setsM. Lellis Thivagar0M. Anbuchelvi1Madurai Kamaraj University School of MathematicsV. V. Vanniaperumal College For Women Department of MathematicsIn this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such as ˆΩ -continuity, ˆΩ -irresolute,weakly ˆΩ -continuity and ˆΩ -open mappings.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/18193ˆΩ -closed setsˆΩ Tδ -spacesωTˆΩ -spacesˆΩ -continuity and ˆΩ -irresolute
collection DOAJ
language English
format Article
sources DOAJ
author M. Lellis Thivagar
M. Anbuchelvi
spellingShingle M. Lellis Thivagar
M. Anbuchelvi
New spaces and Continuity via ˆΩ-closed sets
Boletim da Sociedade Paranaense de Matemática
ˆΩ -closed sets
ˆΩ Tδ -spaces
ωTˆΩ -spaces
ˆΩ -continuity and ˆΩ -irresolute
author_facet M. Lellis Thivagar
M. Anbuchelvi
author_sort M. Lellis Thivagar
title New spaces and Continuity via ˆΩ-closed sets
title_short New spaces and Continuity via ˆΩ-closed sets
title_full New spaces and Continuity via ˆΩ-closed sets
title_fullStr New spaces and Continuity via ˆΩ-closed sets
title_full_unstemmed New spaces and Continuity via ˆΩ-closed sets
title_sort new spaces and continuity via ˆω-closed sets
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2014-09-01
description In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such as ˆΩ -continuity, ˆΩ -irresolute,weakly ˆΩ -continuity and ˆΩ -open mappings.
topic ˆΩ -closed sets
ˆΩ Tδ -spaces
ωTˆΩ -spaces
ˆΩ -continuity and ˆΩ -irresolute
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/18193
work_keys_str_mv AT mlellisthivagar newspacesandcontinuityviaˆōclosedsets
AT manbuchelvi newspacesandcontinuityviaˆōclosedsets
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