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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 δ-semi-preopen (or δ-β-open) sets and weaker than both δ-semiopen sets and δ-preopen sets.
In order to investigate some different properties we introduce two strong form of e-open sets called e-regular sets and e-θ-open sets. By means of e-θ-open sets we also introduce a new class of functions called strongly θ-e-continuous functions which is a generalization of θ-precontinuous functions.
Some characterizations concerning strongly θ-e-continuous functions are obtained.
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참고문헌 (22)
참고문헌 신청
A. A. El-Atik / 1997 / A study of some types of mappings on topological spaces / 석사 / Tanta University
A. S. Mashhour / 1982 / On precontinuous and weak precontinuous mappings / Proc. Math. Phys. Soc. Egypt (53) : 47 ~ 53
D. Andrijevi? / 1986 / Semipreopen sets / Mat. Vesnik 38 (1) : 24 ~ 32
D. Andrijevi? / 1996 / On b-open sets / Mat. Vesnik 48 (1) : 59 ~ 64
E. Ekici / 2008 / On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity / Arab. J. Sci. Eng. Sect. A Sci. 33 (2) : 269 ~ 282
A. S. Mashhour / 1982 / On precontinuous and weak precontinuous mappings / Proc. Math. Phys. Soc. Egypt (53) : 47 ~ 53
D. Andrijevi? / 1986 / Semipreopen sets / Mat. Vesnik 38 (1) : 24 ~ 32
D. Andrijevi? / 1996 / On b-open sets / Mat. Vesnik 48 (1) : 59 ~ 64
E. Ekici / 2008 / On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity / Arab. J. Sci. Eng. Sect. A Sci. 33 (2) : 269 ~ 282
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