Acta Mathematica Hungarica
Volume/Issue:
Volume 136: Issue 4
On maximal μ-open and minimal μ-closed sets via generalized topology
Authors: Bishwambhar Roy 1 and Ritu Sen 2
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  • 1 Department of Mathematics, Women's Christian College, 6, Greek Church Row, Kolkata 700 026, India
  • | 2 Department of Mathematics, S. A. Jaipuria College, 10, Raja Naba Krishna Street, Kolkata 700 005, India
Pages:
233–239
Online Publication Date:
07 Mar 2012
Publication Date:
01 Sep 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-012-0201-z
Keywords:
maximal μ-open set; minimal μ-closed set; almost maximal μ-open set; 54B05; 54C08
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Abstract

We introduce the notion of maximal μ-open and minimal μ-closed sets in a generalized topological space. We also investigate some of their fundamental properties.

  • [1] Császár, Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96 351–357 .

  • [2] Császár, Á. 2005 Generalized open sets in generalized topologies Acta Math. Hungar. 106 53–66 .

  • [3] Császár, Á. 2008 δ- and θ-modifications of generalized topologies Acta Math. Hungar. 120 275–279 .

  • [4] Nakaoka, F. Oda, N. 2003 Some properties of maximal open sets Int. J. Math. Math. Sci. 21 1331–1340 .

  • [5] Nakaoka, F. Oda, N. 2001 Some applications of minimal open sets Int. J. Math. Math. Sci. 27 471–476 .

Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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