On G-Sequential Continuity

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MUCUK O. , Sahan T.

FILOMAT, cilt.28, ss.1181-1189, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1406181m
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1181-1189


Let X be a first countable Hausdorff topological group. The limit of a sequence in X defines a function denoted by lim from the set of all convergent sequences to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. Recently Cakalli has extended the concept to the topological group setting and introduced the concepts of G-sequential compactness, G-sequential continuity and sequential connectedness. In this paper we give a further investigation of G-sequential continuity in topological groups.