Mathlib Map

Theorems · Inductive type · general topology

TotallyDisconnectedSpace

(α : Type u) → [TopologicalSpace α] → Prop

A space is totally disconnected if all of its connected components are singletons.

Defined in
Mathlib.Topology.Connected.TotallyDisconnected
Cited by
295 results in Mathlib
Foundations
Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes
TopologicalSpace

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Cited by540

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