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Theorems · Theorem · algebraic topology

Homeomorph.contractibleSpace_iff

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : X ≃ₜ Y),
  ContractibleSpace X ↔ ContractibleSpace Y
Defined in
Mathlib.Topology.Homotopy.Contractible
Cited by
1 results in Mathlib
Foundations
Depth 129 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.

Topology.IsOpenEmbedding.stronglyLocallyContractibleSpace · cited by 1IsOpenEmbedding.stronglyL…TopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphContractibleSpace · cited by 21ContractibleSpaceHomeomorph.toHomotopyEquiv · cited by 7Homeomorph.toHomotopyEquivContinuousMap.HomotopyEquiv.contractibleSpace_iff · cited by 1HomotopyEquiv.contractibl…Homeomorph.contractibleSpace_…CITED BYCITES

Cites5

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Cited by1

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