Topology generated by subbase

  • Published: January 2007

Generalized topologies generated by subbases

  • J. Li1

Acta Mathematica Hungarica volume114,pages 112 [2007]Cite this article

  • 152 Accesses

  • 6 Citations

  • Metrics details

Abstract

We investigate the generalized topology generated by a subbase for a topology, and consider its applications in the theory of rough sets.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

34,95

Price includes VAT [Vietnam]
Tax calculation will be finalised during checkout.

Rent this article via DeepDyve.

Learn more about Institutional subscriptions

References

  1. [1]

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

    Article MathSciNet MATH Google Scholar

  2. [2]

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

    Article MathSciNet MATH Google Scholar

  3. [3]

    Á. Császár, On the γ-interior and γ-closure of a set, Acta Math. Hungar., 80 [1998], 8993.

    Article MathSciNet MATH Google Scholar

  4. [4]

    Á. Császár, Separation axioms for generalized topologies, Acta Math. Hungar., 104 [2004], 6369.

    Article MathSciNet MATH Google Scholar

  5. [5]

    Á. Császár, γ-connected sets, Acta Math. Hungar., 101 [2003], 273279.

    Article MathSciNet MATH Google Scholar

  6. [6]

    R. Engelking, General Topology, PWN [1977].

  7. [7]

    Z. Pawlak, Rough sets, International Journal of Computer and Information Science, 11 [1982], 341356.

    Article MathSciNet MATH Google Scholar

  8. [8]

    Z. Pawlak, Rough classification, International Journal of Man-Machine Studies, 20 [1984], 469483.

    Article MATH Google Scholar

  9. [9]

    Y. Y. Yao, Two views of the theory of rough sets in finite universes, Intern Rough classification, International Journal of Approximation Reasoning, 15 [1996], 291317.

    Article MATH Google Scholar

  10. [10]

    W. Zakowski, Approximation in the space [U,II], Demonstratio Math., 16 [1983], 761769.

    MathSciNet MATH Google Scholar

  11. [11]

    J. A. Pomykala, Approximation Operations in approximation spaces, Bulletin of the Polish Academy of Science, 35 [1987], 653662.

    MathSciNet MATH Google Scholar

Download references

Author information

Affiliations

  1. Department of Mathematics, Zhangzhou Teachers College, Zhangzhou, Fujian, 363000, China

    J. Li

Authors
  1. J. Li
    View author publications

    You can also search for this author in PubMedGoogle Scholar

Additional information

This work is supported by the NSF of China [10571151, 10671173] and of Fujian [Z0511033].

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Li, J. Generalized topologies generated by subbases. Acta Math Hung 114, 112 [2007]. //doi.org/10.1007/s10474-006-0510-1

Download citation

  • Received: 15 April 2005

  • Accepted: 01 July 2005

  • Issue Date: January 2007

  • DOI: //doi.org/10.1007/s10474-006-0510-1

Share this article

Anyone you share the following link with will be able to read this content:

Get shareable link

Sorry, a shareable link is not currently available for this article.

Copy to clipboard

Provided by the Springer Nature SharedIt content-sharing initiative

Key words and phrases

  • generalized topology
  • subbase
  • generalized continuity
  • subspace
  • rough set

2000 Mathematics Subject Classification

  • 54A05
  • 54C05

Video liên quan

Chủ Đề