Theorems · Definition · algebraic topology
SSet.stdSimplex.toTopObjIsoI
SSet.toTop.obj (SSet.stdSimplex.obj { len := 1 }) ≅ TopCat.IThe geometric realization of Δ[1] is isomorphic to TopCat.I.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Oppositestatement · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- SimplexCategorystatement · cited by 2,204
- TopCatstatement · cited by 1,889
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- TopCat.Istatement · cited by 64
- Homeomorph.transproof · cited by 49
- TopCat.isoOfHomeoproof · cited by 12
- SSet.toTopstatement · cited by 11
- TopCat.stdSimplexHomeomorphIproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.toSSetObjIproof · cited by 8