Theorems · Definition · algebraic topology
FundamentalGroupoidFunctor.projRight
(A : TopCat) →
(B : TopCat) →
CategoryTheory.Functor ↑(FundamentalGroupoid.fundamentalGroupoidFunctor.obj (TopCat.of (↑A × ↑B)))
↑(FundamentalGroupoid.fundamentalGroupoidFunctor.obj B)The induced map of the right projection map X × Y → Y
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.Bundled.αstatement · cited by 736
- CategoryTheory.Groupoidstatement · cited by 182
- CategoryTheory.Grpdstatement · cited by 30
- FundamentalGroupoid.fundamentalGroupoidFunctorstatement · cited by 21
- FundamentalGroupoid.mapproof · cited by 6
- ContinuousMap.sndproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- FundamentalGroupoidFunctor.prodIsoproof · cited by 2
- FundamentalGroupoidFunctor.prodIso_invstatement · cited by 0
- FundamentalGroupoidFunctor.projRight_mapstatement · cited by 0