Theorems · Definition · algebraic topology
FundamentalGroupoid.map
{X : Type u_1} →
{Y : Type u_2} →
[inst : TopologicalSpace X] →
[inst_1 : TopologicalSpace Y] → C(X, Y) → CategoryTheory.Functor (FundamentalGroupoid X) (FundamentalGroupoid Y)The functor on fundamental groupoid induced by a continuous map.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functorstatement · cited by 16,252
- ContinuousMapstatement and proof · cited by 2,491
- FundamentalGroupoidstatement and proof · cited by 60
- FundamentalGroupoid.asproof · cited by 40
- Path.Homotopic.Quotient.mapproof · cited by 19
Cited by12
Results whose statement or proof uses this declaration.
- FundamentalGroupoid.fundamentalGroupoidFunctorproof · cited by 21
- FundamentalGroupoidFunctor.projLeftproof · cited by 2
- FundamentalGroupoidFunctor.projRightproof · cited by 2
- FundamentalGroup.mapproof · cited by 2
- FundamentalGroupoidFunctor.equivOfHomotopyEquivproof · cited by 1
- FundamentalGroup.map_applystatement · cited by 1
- FundamentalGroupoid.map_obj_asstatement and proof · cited by 0
- IsCoveringMap.existsUnique_continuousMap_lifts_of_range_leproof · cited by 0
- FundamentalGroupoidFunctor.homotopicMapsNatIsostatement and proof · cited by 0
- FundamentalGroupoid.map_compstatement · cited by 0
- FundamentalGroupoid.map_idstatement · cited by 0
- FundamentalGroupoid.map_mapstatement and proof · cited by 0