Definition:Connected (Topology)/Topological Space/Definition 7

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Definition

Let $T = \struct {S, \tau}$ be a topological space.


$T$ is connected if and only if:

there do not exist disjoint, non-empty open sets $X$ and $Y$ of $T$ such that $X \cup Y = S$.


Also see

  • Results about connected spaces can be found here.


Sources