S-I-Convergence of sequences

Abstract:

In this article, we use the notions of a semi-open set and topological ideal, in order to define and study a new variant of the classical concept of convergence of sequences in topological spaces, namely, the S-I-convergence. Some basic properties of S-I-convergent sequences and their preservation under certain types of functions are investigated. Also, we study the notions related to compactness and cluster points by using semi-open sets and ideals. Finally, we explore the Iconvergence of sequences in the cartesian product space.

Año de publicación:

2020

Keywords:

• Semi-open sets
• S-I-convergence
• Irresolute function
• Semi-continuous function
• Semi-compactness
• I-convergence
• Semi-closure

Fuente:

scopus