Theorems · Theorem · general topology
Topology.IsInducing.compacts_map
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β}
(hf : Topology.IsInducing f), Topology.IsInducing (TopologicalSpace.Compacts.map f ⋯)- Defined in
- Mathlib.Topology.Sets.VietorisTopology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 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.
- TopologicalSpacestatement and proof · cited by 24,529
- TopologicalSpace.Compactsstatement · cited by 386
- Topology.IsInducingstatement and proof · cited by 266
- Topology.IsInducing.continuousstatement · cited by 48
- Topology.IsEmbedding.isInducingproof · cited by 47
- TopologicalSpace.Compacts.mapstatement · cited by 37
- Topology.IsInducing.compproof · cited by 17
- TopologicalSpace.Compacts.isEmbedding_coeproof · cited by 10
- Topology.IsInducing.of_comp_iffproof · cited by 5
- Topology.IsInducing.image_vietorisproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsInducing.nonemptyCompacts_mapproof · cited by 1