[Merged by Bors] - feat(Algebra/Homology/SpectralObject): the spectral sequence#36555
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joelriou wants to merge 139 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(Algebra/Homology/SpectralObject): the spectral sequence#36555joelriou wants to merge 139 commits intoleanprover-community:masterfrom
joelriou wants to merge 139 commits intoleanprover-community:masterfrom
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…nto spectral-sequences-2-cycles-2
…nto spectral-sequences-2-page-1
…nto spectral-sequences-2-page-1
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
…nto spectral-sequences-2-cycles-2
…nto spectral-sequences-2-page-1
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
…2-spectral-sequence-2
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…he spectral sequence (leanprover-community#36550) If `X` is a spectral object indexed by the preordered type `ι` in the abelian category `C` and we have a recipe `data : SpectralSequenceDataCore ι c r₀`, we define the pages of the spectral sequences attached to `X` and `data`, and we compute the kernel of the differentials. In the next PR leanprover-community#36555 in the series, the spectral sequence shall be constructed in full.
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It's worth thinking about what is supposed to be the user-facing API here. Many of the lemmas seem to be auxiliary and only to be used in constructions in this file. Do we really want this whole file as an @[expose] public section?
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Probably because of the data involved, I was not able to make private the definitions in the beginning of the file, but I have managed to make the main definition |
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Thanks! maintainer merge |
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🚀 Pull request has been placed on the maintainer queue by dagurtomas. |
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Thanks! bors merge |
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This PR constructs the spectral sequence attached to a spectral object in an abelian category.
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This PR constructs the spectral sequence attached to a spectral object in an abelian category.