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Theorems · Theorem · algebraic topology

IsCoveringMap.isQuotientMap

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X},
  IsCoveringMap f → Function.Surjective f → Topology.IsQuotientMap f
Defined in
Mathlib.Topology.Covering.Basic
Cited by
2 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isQuotientCoveringMap_iff_isCoveringMap_and · cited by 0isQuotientCoveringMap_iff…isAddQuotientCoveringMap_iff_isCoveringMap_and · cited by 0isAddQuotientCoveringMap_…TopologicalSpace · cited by 24529TopologicalSpaceTopology.IsQuotientMap · cited by 124Topology.IsQuotientMapIsCoveringMap · cited by 68IsCoveringMapIsCoveringMap.continuous · cited by 11IsCoveringMap.continuousIsOpenMap.isQuotientMap · cited by 10IsOpenMap.isQuotientMapIsCoveringMap.isOpenMap · cited by 3IsCoveringMap.isOpenMapIsCoveringMap.isQuotientMapCITED BYCITES

Cites6

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Cited by2

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