Cakalli, Huseyin2024-07-122024-07-1220120893-965910.1016/j.aml.2011.09.0362-s2.0-80955122852https://dx.doi.org/10.1016/j.aml.2011.09.036https://hdl.handle.net/20.500.12415/7786We investigate the impact of changing the definition of convergence of sequences on the structure of the set of connected subsets of a topological group, X. A non-empty subset A of X is called G-sequentially connected if there are no non-empty and disjoint G-sequentially closed subsets U and V, both meeting A, such that A subset of U boolean OR V. Sequential connectedness in a topological group is a special case of this generalization when G = lim. (C) 2011 Published by Elsevier Ltdeninfo:eu-repo/semantics/openAccessSequencesSummabilityG-sequential closureG-sequential continuityG-sequential connectednessArticle4653Q146125WOS:000298201700043Q1