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Theorems · Theorem · algebraic topology

ContinuousMap.HomotopyEquiv.simplyConnectedSpace

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [hY : SimplyConnectedSpace Y]
  (e : ContinuousMap.HomotopyEquiv X Y), SimplyConnectedSpace X
Defined in
Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected
Cited by
1 results in Mathlib
Foundations
Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceSimplyConnectedSpace
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Around this declaration

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ContinuousMap.HomotopyEquiv.simplyConnectedSpace_iff · cited by 1HomotopyEquiv.simplyConne…TopologicalSpace · cited by 24529TopologicalSpaceNonempty.map · cited by 101Nonempty.mapCategoryTheory.Equivalence.trans · cited by 57Equivalence.transContinuousMap.HomotopyEquiv · cited by 23ContinuousMap.HomotopyEqu…SimplyConnectedSpace · cited by 19SimplyConnectedSpaceSimplyConnectedSpace.equiv_unit · cited by 1SimplyConnectedSpace.equi…FundamentalGroupoidFunctor.equivOfHomotopyEquiv · cited by 1FundamentalGroupoidFuncto…HomotopyEquiv.simplyConnected…CITED BYCITES

Cites7

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Cited by1

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