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Theorems · Definition · general topology

genericPoints.equiv

{α : Type u_1} →
  [inst : TopologicalSpace α] → [T0Space α] → [QuasiSober α] → ↑(genericPoints α) ≃ ↑(irreducibleComponents α)

In a sober space, the generic points corresponds bijectively to irreducible components

Defined in
Mathlib.Topology.Sober
Cited by
2 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceT0SpaceQuasiSober

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