path connected

created by ariels
(idea) by ariels (1 wk) (print)   (I like it!) Sun Aug 19 2001 at 8:34:20

A topological space X is path connected iff for every 2 points a,b∈X there exists a path from a to b.

In general this is stronger than being connected! For an example, see the topologist's sine curve.

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