Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON STRONGLY θ-e-CONTINUOUS FUNCTIONS

  • Ozkoc, Murad (EGE UNIVERSITY FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS) ;
  • Aslim, Gulhan (EGE UNIVERSITY FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS)
  • Received : 2009.04.09
  • Published : 2010.09.30
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Abstract

A new class of generalized open sets in a topological space, called e-open sets, is introduced and some properties are obtained by Ekici [6]. This class is contained in the class of $\delta$-semi-preopen (or $\delta-\beta$-open) sets and weaker than both $\delta$-semiopen sets and $\delta$-preopen sets. In order to investigate some different properties we introduce two strong form of e-open sets called e-regular sets and e-$\theta$-open sets. By means of e-$\theta$-open sets we also introduce a new class of functions called strongly $\theta$-e-continuous functions which is a generalization of $\theta$-precontinuous functions. Some characterizations concerning strongly $\theta$-e-continuous functions are obtained.

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References

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