ON b-mI-OPEN SETS AND b-mI- CONTINUOUS FUNCTIONS

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

Internal Topology on MI-groups

An MI-group is an algebraic structure based on a generalization of the concept of a monoid that satisfies the cancellation laws and is endowed with an invertible anti-automorphism representing inversion. In this paper, a topology is defined on an MI-group $G$ under which $G$ is  a topological MI-group. Then we will identify open, discrete and compact MI-subgroups. The connected components of th...

QUASI b−OPEN AND STRONGLY b−OPEN FUNCTIONS

In this paper we introduce b− open, b− closed, quasi b− open, quasi b − closed, strongly b − open and strongly b − closed functions and investigate properties and characterizations of these new types 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