대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제47권5호
  • /
  • Pages.1025-1036
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  • 2010
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2009.04.09
  • 발행 : 2010.09.30
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초록

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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참고문헌

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