Acta Mathematica Hungarica

, Volume 147, Issue 2, pp 259–271 | Cite as

Compatible hereditary classes in GTS

Article
First Online:
Received:
Revised:
Accepted:

Abstract

We study the properties of GTS with hereditary classes introduced by Á. Császár. Also, we introduce gcompatible hereditary classes and characterize them in terms of μ-codense hereditary classes.

Key words and phrases

generalized topology μ-closed and μ-open set hereditary class μ-rare set μ-codense and strongly μ-codense 

Mathematics Subject Classification

primary 54A05 secondary 54A10 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Császár Á.: Generalized open sets. Acta Math. Hungar., 75, 65–87 (1997)MATHMathSciNetCrossRefGoogle Scholar
  2. 2.
    Császár Á.: Generalized topology, generalized continuity. Acta Math. Hungar., 96, 351–357 (2002)MATHMathSciNetCrossRefGoogle Scholar
  3. 3.
    Császár Á.: Modifications of generalized topologies via hereditary classes. Acta Math. Hungar., 115, 29–36 (2007)MATHMathSciNetCrossRefGoogle Scholar
  4. 4.
    Császár Á.: Remarks on quasi-topologies. Acta Math. Hungar., 119, 197–200 (2008)MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Kim Y. K., Min W. K.: On operations induced by hereditary classes on generalized topological spaces. Acta Math. Hungar., 137, 130–138 (2012)MATHMathSciNetCrossRefGoogle Scholar
  6. 6.
    K. Kuratowski, Topology I, Academic Press (New York, 1966).Google Scholar
  7. 7.
    Mashhur A. S., Allam A. A., Mahmoud F. S., Khedr F. H.: On supratopological spaces. Indian J. Pure Appl. Math., 144, 502–510 (1983)Google Scholar
  8. 8.
    Renukadevi V., Karuppayi K.: On modifications of generalized topologies via hereditary classes. J. Adv. Res. Pure. Math., 2, 14–20 (2010)MATHMathSciNetCrossRefGoogle Scholar
  9. 9.
    Sheena Scaria, Renukadevi V.: On hereditary classes in generalized topological spaces. J. Adv. Res. Pure. Math., 3, 21–30 (2011)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Sivagami P.: Remarks on γ-interior. Acta Math. Hungar., 119, 81–94 (2008)MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2015

Authors and Affiliations

  1. 1.Department of MathematicsANJA CollegeSivakasiIndia

Personalised recommendations