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arxiv: 1201.1796 · v1 · pith:6F3KUFP4new · submitted 2011-12-22 · 🧮 math.GN

On G-sequential connectedness

classification 🧮 math.GN
keywords connectednesssequentialnon-emptysequentiallybigcupcakalliclosedconcept
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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.

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