connectedComponentsEquivZerothHomotopy

{X : Type u_1} → [inst : TopologicalSpace X] → [LocallyPathConnectedSpace X] → ConnectedComponents X ≃ ZerothHomotopy X

In a locally path-connected space, connected components and path-connected components align

Defined in: Mathlib.Topology.Connected.LocallyPathConnected
Cited by: 3 results in Mathlib
Foundations: Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace LocallyPathConnectedSpace

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