IsClopen.pathComponent

∀ {X : Type u_1} [inst : TopologicalSpace X] [LocallyPathConnectedSpace X] (x : X), IsClopen (pathComponent x)

In a locally path connected space, each path component is a clopen set.

Defined in: Mathlib.Topology.Connected.LocallyPathConnected
Cited by: 2 results in Mathlib
Foundations: Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace LocallyPathConnectedSpace

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