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http://dx.doi.org/10.4134/BKMS.2010.47.5.1025

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 1025-1036 More about this Journal
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.
Keywords
e-open sets; e-$\theta$-closed sets; e-regular sets; strongly $\theta$-e-continuous functions;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 4
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