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  • 1 Department of Mathematics, MyongJi University, Yongin 449-728, Korea
  • | 2 Department of Mathematics, Kangwon National University, Chuncheon 200-701, Korea
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Abstract

We introduce the operator given by a hereditary class and a generalized topology μ, and investigate its properties. With the help of , we define -semi-open sets which are generalized open sets on generalized topologies and study the relation between such sets and some generalized open sets (e.g. μ-semi-open sets, μ-β-open sets) on generalized topologies.

  • [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. 2005 Generalized open sets in generalized topologies Acta Math. Hungar. 106 5366 .

  • [4] Császár, Á. 2008 Modificatons of generalized topologies via hereditary classes Acta Math. Hungar. 120 275279 .

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

  • [6] Janković, D. Hamlett, T. R. 1990 New topologies from old via ideals Amer. Math. Monthly 97 295310 .

  • [7] Kuratowski, K. 1966 Topology 1 Academic Press New York.

Acta Mathematica Hungarica
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  • Impact Factor (2019): 0.588
  • Scimago Journal Rank (2019): 0.489
  • SJR Hirsch-Index (2019): 38
  • SJR Quartile Score (2019): Q2 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.538
  • Scimago Journal Rank (2018): 0.488
  • SJR Hirsch-Index (2018): 36
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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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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