ON STRONGLY θ-e-CONTINUOUS FUNCTIONS

Title & Authors
ON STRONGLY θ-e-CONTINUOUS FUNCTIONS

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 $\small{\delta}$-semi-preopen (or $\small{\delta-\beta}$-open) sets and weaker than both $\small{\delta}$-semiopen sets and $\small{\delta}$-preopen sets. In order to investigate some different properties we introduce two strong form of e-open sets called e-regular sets and e-$\small{\theta}$-open sets. By means of e-$\small{\theta}$-open sets we also introduce a new class of functions called strongly $\small{\theta}$-e-continuous functions which is a generalization of $\small{\theta}$-precontinuous functions. Some characterizations concerning strongly $\small{\theta}$-e-continuous functions are obtained.
Keywords
e-open sets;e-$\small{\theta}$-closed sets;e-regular sets;strongly $\small{\theta}$-e-continuous functions;
Language
English
Cited by
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