ON STRONGLY θ-e-CONTINUOUS FUNCTIONS
Makaleler > Tam Makale · 2010
Yazarlar: Murad Ozkoc, Gulhan Aslim
Bulletin of the Korean Mathematical Society, Uluslararası, Wos, 2010, cilt 47, ss 1025-1036
DOI: 10.4134/bkms.2010.47.5.1025
Özet
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.