On $G$-sequential connectedness

Hüseyin Çakallı; Osman Mucuk

On $G$-sequential connectedness

General Topology 2012-01-10 v1

Authors: Hüseyin Çakallı , Osman Mucuk

Abstract

Recently, Cakalli has introduced a concept of $G$ -sequential connectedness in the sense that a non-empty subset $A$ of a Hausdorff topological group $X$ is $G$ -sequentially connected if there are no non-empty, disjoint $G$ -sequentially closed subsets $U$ and $V$ meeting $A$ such that $A\subseteq U\bigcup V$ . In this paper we investigate further properties of $G$ -sequential connectedness and prove some interesting theorems.

Cite

@article{arxiv.1201.1796,
  title  = {On $G$-sequential connectedness},
  author = {Hüseyin Çakallı and Osman Mucuk},
  journal= {arXiv preprint arXiv:1201.1796},
  year   = {2012}
}

Comments

11 pages, Research paper. arXiv admin note: substantial text overlap with arXiv:1105.2203

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