[Merged by Bors] - feat(topology/algebra/module/character_space): kernels of terms of the character_space
#16722
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j-loreaux
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LGTM 🎉 maintainer merge |
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🚀 Pull request has been placed on the maintainer queue by ADedecker. |
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…e `character_space` (#16722) This shows that the kernel of a element `φ` of `character_space 𝕜 A` is a maximal ideal. Moreover, `φ` and `ψ` are equal if their kernels coincide. In addition, we provide a missing `ext` lemma, and protect a lemma named `is_closed` in this namespace.
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…to (complements of) singletons (#16719) This establishes the correspondence between maximal ideals of `C(X, 𝕜)` (where `X` is compact Hausdorff and `is_R_or_C 𝕜`) and the complements of singletons in `X`. This allows for the proof that the natural map from `X` to `character_space 𝕜 C(X, 𝕜)` is a homeomorphism. - [x] depends on: #16709 - [x] depends on: #16713 - [x] depends on: #16714 - [x] depends on: #16677 - [x] depends on: #16663 - [x] depends on: #16721 - [x] depends on: #16722 - [x] depends on: #16801
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This shows that the kernel of a element
φofcharacter_space 𝕜 Ais a maximal ideal. Moreover,φandψare equal if their kernels coincide.In addition, we provide a missing
extlemma, and protect a lemma namedis_closedin this namespace.