Theorems · Theorem · general topology
Topology.IsOpenEmbedding.spectralSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y} [SpectralSpace Y]
[CompactSpace X], Topology.IsOpenEmbedding f → SpectralSpace X- Defined in
- Mathlib.Topology.Spectral.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- CompactSpacestatement and proof · cited by 593
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- T0Spaceproof · cited by 179
- QuasiSeparatedSpaceproof · cited by 49
- QuasiSoberproof · cited by 31
- PrespectralSpaceproof · cited by 23
- Topology.IsOpenEmbedding.isEmbeddingproof · cited by 22
- Topology.IsEmbedding.t0Spaceproof · cited by 5
- Topology.IsOpenEmbedding.quasiSoberproof · cited by 2
- SpectralSpacestatement and proof · cited by 1
- Topology.IsOpenEmbedding.prespectralSpaceproof · cited by 1
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