Related Articles ( Operations )
On Digital Line and Operations
The topological structure is a more general mathematical model that helps in solving many problems in digital topology and its applications. In this paper, we introduce and study some general forms of separation properties based on operations. The notions of generalized closed set and T1/2-spaces are ...
Normal Subgroups and Quotient Groups in β-α-topological Group
In this paper, we studied the subgroup in β-α-topological group and several basic theorems are introduced. From normal subgroups, the study naturally follows to quotient groups, which are decomposition spaces topologically. The quotient group space of β-α-topological groups defined ...
Topological Group Via Operations defined on α-Open Sets
In this paper, we begin the study of β-α-continuous multiplication map. Here we begin by stating some properties of β-α-continuous multiplication and define the β-α-continuity of the inversion map as well. We then introduce the concept of β-α-topological groups ...