Skip to main content
Log in

A note on generalized connectedness

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

Abstract

This note is devoted to study the preservation of connectedness under the basic operators in generalized topological spaces. Some characterizations of generalized connectedness are given. As an application, we generalize some results in topological spaces.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Aho and T. Nieminen, Spaces in which preopen subsets are semi-open, Ricerche Mat., 43 (1994), 45–59.

    MATH  MathSciNet  Google Scholar 

  2. Á. Császár, Generalized open sets, Acta Math. Hungar., 75 (1979), 65–87.

    Article  Google Scholar 

  3. Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar., 96 (2002), 351–357.

    Article  MATH  MathSciNet  Google Scholar 

  4. Á. Császár, γ-connected sets, Acta Math. Hungar., 101 (2003), 273–279.

    Article  MATH  MathSciNet  Google Scholar 

  5. Á. Császár, Generalized open sets in generalized topologies, Acta Math. Hungar., 106 (2005), 53–66.

    Article  MATH  MathSciNet  Google Scholar 

  6. Z. Duszyński, On some concepts of weak connectdness of topological spaces, Acta Math. Hungar., 110 (2006), 81–90.

    Article  MathSciNet  Google Scholar 

  7. V. Pipitone and G. Russo, Spazi semiconnessi e spazi semiaperti, Rend. Circ. Mat. Palermo, 24 (1975), 273–285.

    Article  MathSciNet  Google Scholar 

  8. V. Popa, Properties of H-almost continuous functions, Bull. Math. Soc. Sci. Math. R.S. Roumanie (N.S.), 79 (1987), 163–168.

    Google Scholar 

  9. V. Popa and T. Noiri, Weakly β-continuous functions, An. Univ. Timisoara Ser. Mat. Inform., 32 (1994), 83–92.

    MATH  MathSciNet  Google Scholar 

  10. T. Thompson, Characterizations of irreducible space, Kyungpook Math. J., 21 (1981), 191–194.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. -X. Shen.

Additional information

Supported in part by the NSFC (No. 10571151, 10671173).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shen, R.X. A note on generalized connectedness. Acta Math Hung 122, 231–235 (2009). https://doi.org/10.1007/s10474-008-8009-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10474-008-8009-6

Key words and phrases

2000 Mathematics Subject Classification

Navigation