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[Merged by Bors] - feat(Algebra/Homology/SpectralObject): starting the construction of the spectral sequence#36550

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[Merged by Bors] - feat(Algebra/Homology/SpectralObject): starting the construction of the spectral sequence#36550
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@joelriou joelriou commented Mar 12, 2026

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 #36555 in the series, the spectral sequence shall be constructed in full.


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joelriou and others added 30 commits February 15, 2026 16:39
@mathlib-dependent-issues mathlib-dependent-issues bot removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Mar 17, 2026
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@joelriou joelriou removed WIP Work in progress awaiting-author A reviewer has asked the author a question or requested changes. labels Mar 17, 2026
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Thanks!

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🚀 Pull request has been placed on the maintainer queue by dagurtomas.


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@mathlib-triage mathlib-triage bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Mar 19, 2026
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Thanks!

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mathlib-bors bot pushed a commit that referenced this pull request Mar 20, 2026
…he spectral sequence (#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 #36555 in the series, the spectral sequence shall be constructed in full.
@mathlib-triage mathlib-triage bot added ready-to-merge This PR has been sent to bors. and removed maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. labels Mar 20, 2026
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mathlib-bors bot commented Mar 20, 2026

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(Algebra/Homology/SpectralObject): starting the construction of the spectral sequence [Merged by Bors] - feat(Algebra/Homology/SpectralObject): starting the construction of the spectral sequence Mar 20, 2026
@mathlib-bors mathlib-bors bot closed this Mar 20, 2026
justus-springer pushed a commit to justus-springer/mathlib4 that referenced this pull request Mar 28, 2026
…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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ready-to-merge This PR has been sent to bors. t-algebra Algebra (groups, rings, fields, etc) t-category-theory Category theory

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