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Theorems · Theorem · algebraic topology

ContinuousMap.HomotopyEquiv.simplyConnectedSpace_iff

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : ContinuousMap.HomotopyEquiv X Y), SimplyConnectedSpace X ↔ SimplyConnectedSpace Y
Defined in
Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected
Cited by
1 results in Mathlib
Foundations
Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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Topology.IsEmbedding.isSimplyConnected_image · cited by 1IsEmbedding.isSimplyConne…TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap.HomotopyEquiv · cited by 23ContinuousMap.HomotopyEqu…SimplyConnectedSpace · cited by 19SimplyConnectedSpaceContinuousMap.HomotopyEquiv.symm · cited by 8HomotopyEquiv.symmContinuousMap.HomotopyEquiv.simplyConnectedSpace · cited by 1HomotopyEquiv.simplyConne…HomotopyEquiv.simplyConnected…CITED BYCITES

Cites5

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Cited by1

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