On I-Fréchet-Urysohn spaces and sequential I-convergence groups

Abstract

In this paper, we introduce the concept of sequential I-convergence spaces and I-Fréchet-Urysohn space and study their properties. We give a sufficient condition for the product of two sequential I-convergence spaces to be a sequential I-convergence space. Finally, we introduce sequential I-convergence groups and obtain an I-completion of these groups satisfying certain conditions.

Keywords

• Ideal
• admissible ideal
• I-Fréchet-Urysohn space
• sequential I-convergence space
• I-completion