2011/12/22 by Osman Mucuk, Tunçar Şahan · 1 citation
Mathematics · #math.GN #msc:22A05 #msc:40J05 #msc:54A05
paper · pdf · doi:10.2298/fil1406181m
published as Filomat, 28(6) (2014), 1181-1189 · 15 pages, Research Paper, arXiv admin note: substantial text overlap with arXiv:1006.4706 and arXiv:1105.2203 by other author
arxiv created 2011/12/22 · arxiv updated 2018/08/17
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 convergence sequences to X. This definition was 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. Çakallı extended the concept to topological group setting and introduced the concept of G-sequential compactness and investigated G-sequential continuity and G-sequential compactness in topological groups. In this paper we give a further investigation of G-sequential continuity in topological groups most of which are also new for the real case.