Skip to main content
SpringerLink
Log in

Separation axioms for generalized topologies

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

Abstract

The fundamental concepts in topological spaces, in particular separation axioms, are presented in a manner that open sets are replaced by more general ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12 (1983), 77–90.

    MATH  MathSciNet  Google Scholar 

  2. M. Caldas, D. N. Georgiou, S. Jafari and T. Noiri, On (Λ θ)-closed sets.

  3. M. Caldas, S. Jafari and T. Noiri, Characterizations of Λθ-R0 and Λθ-R1 topological spaces, Acta Math. Hungar., 103 (2004), 85–95.

    Article  MATH  MathSciNet  Google Scholar 

  4. Á. Császár, General Topology, (Akadémiai Kiadó and Adam Hilger Ltd. Budapest and Bristol, 1978).

    Google Scholar 

  5. Á. Császár, Generalized open sets, Acta Math. Hungar., 75 (1997), 65–87.

    Article  MATH  MathSciNet  Google Scholar 

  6. Á. Császá r, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.

    Article  MathSciNet  Google Scholar 

  7. C. Dorsett, Semi-T 2, semi-R 1 and semi-R 0 topological spaces, Ann. Soc. Sci. Bruxelles, 92 (1978), 143–150.

    MATH  Google Scholar 

  8. E. Hatir and T. Noiri, Λsp-sets and some weak separation axioms, Acta Math. Hungar.

  9. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36–41.

    Article  MATH  MathSciNet  Google Scholar 

  10. S. N. Maheshwari and R. Prasad, On (R 0)s-spaces, Portug. Math., 34 (1975), 213–217.

    MATH  Google Scholar 

  11. N. V. Veliċko, H-closed topological spaces, Math. Sb., 70 (112) (1966), 98–112.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Analysis, Eötvös Loránd University, 1117, Budapest, Pázmány P. Sétány 1/C

    Ákos Császár

Authors
  1. Ákos Császár
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Császár, Á. Separation axioms for generalized topologies. Acta Mathematica Hungarica 104, 63–69 (2004). https://doi.org/10.1023/B:AMHU.0000034362.97008.c6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:AMHU.0000034362.97008.c6

Search

Navigation