Category:Connectedness Between Two Points

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This category contains results about Connectedness Between Two Points.

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

Let $a, b \in S$.

$T$ is connected between (the) two points $a$ and $b$ if and only if each separation of $T$ includes a single open set $U \in \tau$ which contains both $a$ and $b$.