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

• Main Authors: Renukadevi V., Vijayashanthi P.
• Format: Article
• Language: English
• Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2019-01-01
• Series: Mathematica Moravica
• Subjects: Ideal; admissible ideal; I-Fréchet-Urysohn space; sequential I-convergence space; I-completion
• Online Access: https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2019/1450-59321901119R.pdf
• ISSN: 1450-5932; 2560-5542

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.