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Theorems · Theorem · algebraic topology

SimplyConnectedSpace.equiv_unit

∀ {X : Type u_3} {inst : TopologicalSpace X} [self : SimplyConnectedSpace X],
  Nonempty (FundamentalGroupoid X ≌ CategoryTheory.Discrete Unit)
Defined in
Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected
Cited by
1 results in Mathlib
Foundations
Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SimplyConnectedSpace
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Around this declaration

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

ContinuousMap.HomotopyEquiv.simplyConnectedSpace · cited by 1HomotopyEquiv.simplyConne…TopologicalSpace · cited by 24529TopologicalSpaceCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceFundamentalGroupoid · cited by 60FundamentalGroupoidSimplyConnectedSpace · cited by 19SimplyConnectedSpaceSimplyConnectedSpace.equiv_un…CITED BYCITES

Cites5

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Cited by1

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