Path-connected space
Concept history
A revision trail for this concept page.
Revision 6101
9/28/2026, 2:58:09 PM · SalixBabylonica
Added exercise "Cet ensemble est il connexe par arcs ?"
linked exercisesRéunion de parties connexe par arcsRéunion de parties connexe par arcs, Cet ensemble est il connexe par arcs ?
Revision 6096
9/28/2026, 2:23:16 PM · SalixBabylonica
Added exercise "Réunion de parties connexe par arcs"
linked exercisesNoneRéunion de parties connexe par arcs
Revision 6008
9/27/2026, 3:48:14 PM · Ancient Tree
Translation families joined after duplicate merge
translation freshnessNot linked to a source revisionSource revision 6007
Revision 1179
8/11/2026, 12:51:58 PM · Ancient Tree
Concept created
A [[Topological space|topological space]] is path-connected if for every pair $x,y\in X$, there is a [[Path in a space|path]] $\gamma:[0,1]\rightarrow X$ whose endpoints are $x$ and $y$.