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Theorems · Theorem · algebraic topology

ContinuousMap.HomotopyEquiv.contractibleSpace_iff

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : ContinuousMap.HomotopyEquiv X Y), ContractibleSpace X ↔ ContractibleSpace Y
Defined in
Mathlib.Topology.Homotopy.Contractible
Cited by
1 results in Mathlib
Foundations
Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Homeomorph.contractibleSpace_iff · cited by 1Homeomorph.contractibleSp…TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap.HomotopyEquiv · cited by 23ContinuousMap.HomotopyEqu…ContractibleSpace · cited by 21ContractibleSpaceContinuousMap.HomotopyEquiv.symm · cited by 8HomotopyEquiv.symmContinuousMap.HomotopyEquiv.contractibleSpace · cited by 2HomotopyEquiv.contractibl…HomotopyEquiv.contractibleSpa…CITED BYCITES

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Cited by1

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