In this article, we define and study the concept of ideal topological groups. We study its
relation to topological groups. We present examples that show that ideal topological groups …

The study of convergence in topological groups has become a frontier research subject. In
many cases, the first-countability is an important and strong condition. Based on I s n …

In recent works, the concept of proximal groups was introduced as a generalization of
topological groups. In this paper, we define the concept of quotient proximal groups with the …

ON µ-PROXIMITY SPACES 1. Introduction Proximity is a more exquisite structure than topology
and gives a lucid and con- ceptual Page 1 Math. Appl. 11 (2022), 181–190 DOI …

Our aim in this paper is to give the notion of generalized topological groupoid which is a
generalization of the topological groupoid by using the notion of generalized topology …

In this paper, the concepts of pre-topological groups and some generalizations of pre-
topological groups are posed. First, some basic properties of pre-topological groups are …

In this paper, we continue to investigate some important results in generalized topological
groups and we prove extension closed property for connectedness, compactness, and …

The whole universe of a generalized topological space may not be open. Hence, some
points may be beyond any open set. In this paper we assume that such points are …

In this paper we study hereditarily homogeneous generalized topological spaces. Various
properties of hereditarily homogeneous generalized topological spaces are discussed. We …

We extend the notion of homotopy between topological spaces to the setting of generalized
topological spaces in the sense of Csaszar. We introduce the new notion of generalized …