Theorems · Definition · manifolds
SingularManifold.f
{X : Type u_1} →
[inst : TopologicalSpace X] →
{k : WithTop ℕ∞} →
{E : Type u_2} →
{H : Type u_3} →
[inst_1 : NormedAddCommGroup E] →
[inst_2 : NormedSpace ℝ E] →
[inst_3 : FiniteDimensional ℝ E] →
[inst_4 : TopologicalSpace H] →
{I : ModelWithCorners ℝ E H} → (self : SingularManifold X k I) → self.M → XThe underlying map M → X of a singular n-manifold (M, f) on X
- Defined in
- Mathlib.Geometry.Manifold.Bordism
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 162 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.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- FiniteDimensionalstatement and proof · cited by 1,854
- SingularManifoldstatement and proof · cited by 14
- SingularManifold.Mstatement · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- SingularManifold.mapproof · cited by 3
- SingularManifold.sumproof · cited by 2
- SingularManifold.comapproof · cited by 2
- SingularManifold.sum_fstatement · cited by 0
- SingularManifold.comap_fstatement · cited by 0
- SingularManifold.hfstatement · cited by 0
- SingularManifold.map_compstatement and proof · cited by 0
- SingularManifold.map_fstatement · cited by 0