On Generalized d-Closed Sets

International Journal of Computer Applications

In this paper we present a new class of sets and functions namely gd-closed sets, gd-irresolute functions in the light of d-open sets in topological spaces. Further some of their characterizations are investigated with counter examples.

Egyptian Journal of Basic and Applied Sciences, 2015

In this paper, a new kind of sets called Dα-open sets are introduced and studied in a topological spaces. The class of all Dα-open sets is strictly between the class of all α-open sets and g-open sets. Also, as applications we introduce and study Dα-continuous, Dα-open, and Dα-closed functions between topological spaces. Finally, some properties of Dα-closed and strongly Dα-closed graphs are investigated.

ABSTRACT: In this paper, we introduce a new class of continuous functions called semi*δ-continuous function and semi* δ-irresolute functions in topological spaces by utilizing semi* δ-open sets and to investigate their properties.

2013

— In this paper we introduce the concept of �-open set and by using this set we define generalized �-closed set we obtain some of its properties and also we define ( � � , )-continuous function and study some of its basic properties. Index Terms — s-operation, �-open, generalized �-closed, �-T1 / 2 space,-continuous function. 1

2011

This paper introduces a new class of sets called generalised sg-closed sets in topological spaces to prove that this class lies between the class of closed sets and g-closed sets. Basic properties of generalised sg-closed sets are analysed and the inference is that the class of generalised sg-closed sets form a topology. 2010 Mathematics Subject Classification. Primary 57N05; Secondary 57N05.

Malaya Journal of Matematik

In this paper discuss some properties of generalized closed sets and introduce some basic concepts in generalized topology.

2020

In this paper, a new class of sets called Da-open sets are introduced and investigated with the help of gδ-open and δ-closed sets. Relationships between this new class and other related classes of sets are established and as an application Da-continuous functions have been dened to study its properties in terms of Da-open sets.Finally, some properties of Da-closed graph and (D.a)-closed graphs are investigated.

Filomat, 2015

In this paper, a type of closed sets, called *-g-closed sets, is introduced and studied in an ideal topological space. The class of such sets is found to lie strictly between the class of all closed sets and that of generalized closed sets of Levine [5]. We give some applications of *-g-closed set and *-g-open set in connection with certain separation axioms.

Boletim da Sociedade Paranaense de Matemática, 2012

The purpose of this paper is to introduce and study a new class of generalized closed sets in a topological space X, defined in terms of a grill G on X. Explicit characterization of such sets along with certain other properties of them are obtained. As applications, some characterizations of regular and normal spaces are achieved by use of the introduced class of sets.

In generalized topological spaces, we define D(κ, ν)−sets and establish some decompositions of continuity between generalized topological spaces. Various generalizations for results already established for topological spaces are also given.