[Merged by Bors] - feat(topology/spectral/hom): Spectral maps #12228
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| variables [topological_space α] [topological_space β] [topological_space γ] {f : α → β} {s : set β} | ||
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| /-- A function between topological spaces is spectral if it is continuous and the preimage of every | ||
| compact open set is compact open. -/ |
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| compact open set is compact open. -/ | |
| compact open set is compact. -/ |
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Define spectral maps in three ways: * `is_spectral_map`, the unbundled predicate * `spectral_map`, the bundled type * `spectral_map_class`, the hom class The design for `is_spectral_map` matches `continuous`. The design for `spectral_map` and `spectral_map_class` follows the hom refactor.
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Define spectral maps in three ways:
is_spectral_map, the unbundled predicatespectral_map, the bundled typespectral_map_class, the hom classThe design for
is_spectral_mapmatchescontinuous. The design forspectral_mapandspectral_map_classfollows the hom refactor.The plan is to add spectral spaces in
topology.spectral.basicandSpectral, the category, intopology.category.Spectral.