Definition:Connected Between Two Points

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Definition

Let $T = \left({S, \tau}\right)$ 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 $b$.


Also see

  • Results about connectedness between two points can be found here.


Sources