On digital line and operations

Abstract EN

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 further investigated using operation approaches.

As applications, it is shown that the Khalimsky line (digital line) is a typical example of r;s ? T1=2-spaces, where r = int and s = int ? cl.