Some separation axioms in generalized topological spaces

We give different definitions for g-closed sets, R_0, and R_1 spaces in generalized topological spaces, characterize such spaces and compare with the existing results.

Bibliographic Details
Main Authors: V. Pankajam, Diraviam Sivaraj
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12969
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spelling doaj-7d0a515ce14046cd975d5236f851691b2020-11-24T22:34:55ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882013-10-01311294210.5269/bspm.v31i1.129697399Some separation axioms in generalized topological spacesV. PankajamDiraviam SivarajWe give different definitions for g-closed sets, R_0, and R_1 spaces in generalized topological spaces, characterize such spaces and compare with the existing results.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12969generalized topologyμ−closed and μ−open setssigma−open and sigma−closed setsconnectedirreducibleμ−regularR0 and R1 generalized topological spaces
collection DOAJ
language English
format Article
sources DOAJ
author V. Pankajam
Diraviam Sivaraj
spellingShingle V. Pankajam
Diraviam Sivaraj
Some separation axioms in generalized topological spaces
Boletim da Sociedade Paranaense de Matemática
generalized topology
μ−closed and μ−open sets
sigma−open and sigma−closed sets
connected
irreducible
μ−regular
R0 and R1 generalized topological spaces
author_facet V. Pankajam
Diraviam Sivaraj
author_sort V. Pankajam
title Some separation axioms in generalized topological spaces
title_short Some separation axioms in generalized topological spaces
title_full Some separation axioms in generalized topological spaces
title_fullStr Some separation axioms in generalized topological spaces
title_full_unstemmed Some separation axioms in generalized topological spaces
title_sort some separation axioms in generalized topological spaces
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2013-10-01
description We give different definitions for g-closed sets, R_0, and R_1 spaces in generalized topological spaces, characterize such spaces and compare with the existing results.
topic generalized topology
μ−closed and μ−open sets
sigma−open and sigma−closed sets
connected
irreducible
μ−regular
R0 and R1 generalized topological spaces
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12969
work_keys_str_mv AT vpankajam someseparationaxiomsingeneralizedtopologicalspaces
AT diraviamsivaraj someseparationaxiomsingeneralizedtopologicalspaces
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