Softα-Open Sets and Softα-Continuous Functions

On Pre-θ-Open Sets and Two Classes of Functions

On supra α open sets and Sα-continuous functions

In this paper we introduce and investigate a new class of sets and functions between topological spaces called supra α-open sets and sα-continuous functions respectively. 2000 Mathematics Subject Classification: 03E72, 54A40

On b-I-Open Sets and b-I-Continuous Functions

One of the important and basic topics in the theory of classical point set topology and several branches of mathematics, which have been researched by many authors, is continuity of functions. This concept has been extended to the setting of I-continuity of functions. Janković and Hamlett [1, 2] introduced the notion of I-open sets in topological spaces. Abd El-Monsef et al. [3] further investi...

on pre-θ-open sets and two classes of functions

K -Trivial Closed Sets and Continuous Functions

We investigate the notion of K-triviality for closed sets and continuous functions. Every K-trivial closed set contains a K-trivial real. There exists a K-trivial Π 1 class with no computable elements. For any K-trivial degree d, there is a K-trivial continuous function of degree d.