Theorems · Definition · general topology
TopologicalSpace.Fiber.sigmaIsoHom
{S : Type u_1} → {Y : Type u_2} → (f : S → Y) → [inst : TopologicalSpace S] → C((x : Function.Fiber f) × ↑↑x, S)The canonical map from the disjoint union induced by f to S.
- Defined in
- Mathlib.Topology.FiberPartition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- Set.preimagestatement · cited by 4,946
- Set.rangestatement · cited by 4,705
- ContinuousMapstatement · cited by 2,491
- Function.Fiberstatement and proof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- CompHausLike.LocallyConstant.sigmaIsoproof · cited by 4
- TopologicalSpace.Fiber.sigmaIsoHom_applystatement and proof · cited by 1
- TopologicalSpace.Fiber.sigmaIsoHom_injstatement and proof · cited by 0
- TopologicalSpace.Fiber.sigmaIsoHom_surjstatement · cited by 0