Sequential definitions of connectedness
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Access Rights
info:eu-repo/semantics/openAccess
Abstract
We 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 Ltd
Description
Keywords
Sequences, Summability, G-sequential closure, G-sequential continuity, G-sequential connectedness
Journal or Series
APPLIED MATHEMATICS LETTERS
WoS Q Value
Q1
Scopus Q Value
Q1
Volume
25
Issue
3
