About G-topological groups

MUCUK O.

Filomat, cilt.39, sa.21, ss.7339-7346, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 21
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2521339m
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7339-7346
  • Anahtar Kelimeler: G-continuity, G-convegence, G-topological group, Sequences
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we define a G-topological group on a group endowed with a method G, which generalises the notion of first countable topological groups in which any convergent sequence has a unique limit, give some counter-examples of G-topological groups and then extend the usual properties of topological groups to G-topological groups in this sense.