Theorems · Theorem · general topology
Topology.IsOpenEmbedding.nonemptyCompacts_map
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β}
(hf : Topology.IsOpenEmbedding f), Topology.IsOpenEmbedding (TopologicalSpace.NonemptyCompacts.map f ⋯)- Defined in
- Mathlib.Topology.Sets.VietorisTopology
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- TopologicalSpace.NonemptyCompactsstatement · cited by 137
- Topology.IsOpenEmbedding.continuousstatement and proof · cited by 23
- TopologicalSpace.NonemptyCompacts.mapstatement and proof · cited by 18
- Topology.IsOpenEmbedding.compproof · cited by 12
- TopologicalSpace.NonemptyCompacts.isOpenEmbedding_toCompactsproof · cited by 5
- Topology.IsOpenEmbedding.of_compproof · cited by 3
- Topology.IsOpenEmbedding.compacts_mapproof · cited by 1
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