Authors:
Young Key Kim Department of Mathematics, MyongJi University, Yongin 449-728, Koreae-mail: ykkim@mju.ac.kr

Search for other papers by Young Key Kim in
Current site
Google Scholar
PubMed
Close
and
Won Keun Min Department of Mathematics, Kangwon National University, Chuncheon 200-701, Korea

Search for other papers by Won Keun Min in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

The concepts of κμ-open set and enlargement κ of a generalized topology μ were introduced by Császár [5]. In this paper, we introduce the concept of weak κμ-open sets induced by an enlargement κ of a generalized topology μ, and study some basic properties. We also introduce the concept of κ-regular open sets, and investigate the characterizations of weak κμ-open sets in terms of κ-regular open sets.

  • [1] Császár, Á. 1997 Generalized open sets Acta Math. Hungar. 75 6587 .

  • [2] Császár, Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96 351357 .

  • [3] Császár, Á. 2006 Further remarks on the formular for γ-interior Acta Math. Hungar. 113 325332 .

  • [4] Császár, Á. 2008 δ- and θ-modificatons of generalized topologies Acta Math. Hungar. 120 275279 .

  • [5] Császár, Á. 2008 Enlargements and generalized topologies Acta Math. Hungar. 120 351354 .

  • [6] Kim, Y. K. Min, W. K. 2011 Remarks on enlargements of generalized topologies Acta Math. Hungar. 130 390395 .

  • Collapse
  • Expand

To see the editorial board, please visit the website of Springer Nature.

Manuscript Submission: HERE

For subscription options, please visit the website of Springer Nature.

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)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
May 2024 75 0 0
Jun 2024 28 0 0
Jul 2024 2 0 0
Aug 2024 13 0 0
Sep 2024 25 0 0
Oct 2024 9 0 0
Nov 2024 2 0 0