${\pi}G{\alpha}$-LOCALLY CLOSED SETS AND ${\pi}G{\alpha}$-LOCALLY CONTINUOUS FUNCTIONS

  • Rani, I. Arockia (DEPARTMENT OF MATHEMATICS, NIRMALA COLLEGE FOR WOMEN) ;
  • Balachandran, K. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY) ;
  • Janaki, C. (DEPARTMENT OF MATHEMATICS, SREE NARAYANA GURU COLLEGE)
  • 발행 : 2008.09.30

초록

In this paper we introduce ${\pi}G{\alpha}$-LC sets, ${\pi}G{\alpha}-LC^*$ sets and ${\pi}G{\alpha}-LC^{**}$ sets and different notions of generalizations of continuous functions in topological space and discuss some of their properties. Further we prove pasting lemma for ${\pi}G{\alpha}-LC^{**}$ continuous functions and ${\pi}G{\alpha}-LC^{**}$ irresolute functions.

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