Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Paraopen Sets and Maps in Topological Spaces

  • Ittanagi, Basavaraj M. (Department of Mathematics, Siddaganga Institute of Technology) ;
  • Benchalli, Shivanagappa S. (Department of Mathematics, Karnatak University)
  • Received : 2014.10.30
  • Accepted : 2015.02.21
  • Published : 2016.03.23
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Abstract

In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.

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References

  1. S. S. Benchalli, Basavaraj M. Ittanagi and R. S.Walli, On minimal open sets and maps in topological spaces, Journal of Computer and Mathematical Sciences, 2(2)(2011), 208-220. https://doi.org/10.22436/jmcs.002.02.01
  2. F. Nakaoka and N. Oda, Some Applications of Minimal Open Sets, Interindent national Journal of Mathematics and Mathematical Sciences, 27(8)(2011), 471-476.
  3. F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences, 21(2003), 1331-1340.
  4. F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences, (2006), 1-8.

Cited by

  1. On Mean Open and Closed Sets vol.56, pp.4, 2016, https://doi.org/10.5666/KMJ.2016.56.4.1259