Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Some Topologies Induced by b-open Sets

  • El-Monsef, M.E. Abd (Department of Mathematics, Faculty of Science, Tanta University) ;
  • El-Atik, A.A. (Department of Mathematics, Faculty of Science, Tanta University) ;
  • El-Sharkasy, M.M. (Department of Mathematics, Faculty of Science, Tanta University)
  • Received : 2004.04.26
  • Published : 2005.12.23
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Abstract

The class of b-open sets in the sense of $Andrijevi{\acute{c}}$ ([3]), was discussed by El-Atik ([9]) under the name of ${\gamma}-open$ sets. This class is closed under arbitrary union. The aim of this paper is to use ${\Lambda}-sets$ and ${\vee}-sets$ due to Maki ([15]) some topologies are constructed with the concept of b-open sets. $b-{\Lambda}-sets,\;b-{\vee}-sets$ are the basic concepts introduced and investigated. Moreover, several types of near continuous function based on $b-{\Lambda}-sets,\;b-{\vee}-sets$ are constructed and studied.

Keywords

References

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