[Merged by Bors] - feat(CategoryTheory/Triangulated/TStructure): the spectral object#35370
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joelriou wants to merge 40 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(CategoryTheory/Triangulated/TStructure): the spectral object#35370joelriou wants to merge 40 commits intoleanprover-community:masterfrom
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PR summary 1a3385beaaImport changes for modified filesNo significant changes to the import graph Import changes for all files
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| Current number | Change | Type |
|---|---|---|
| 10183 | 3 | backward.isDefEq |
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- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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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]>
Co-authored-by: Matthew Robert Ballard <[email protected]>
…nto spectral-sequences-1-etrunc-2
…1-spectral-object
…lean Co-authored-by: smorel394 <[email protected]>
…lean Co-authored-by: smorel394 <[email protected]>
…lean Co-authored-by: smorel394 <[email protected]>
…1-spectral-object
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Thanks!
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Mathlib/CategoryTheory/Triangulated/TStructure/SpectralObject.lean
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🚀 Pull request has been placed on the maintainer queue by robin-carlier. |
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Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
Co-authored-by: Robin Carlier <[email protected]>
…lean Co-authored-by: Robin Carlier <[email protected]>
…lean Co-authored-by: Robin Carlier <[email protected]>
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This is great, thanks! bors merge |
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…5370) Given a t-structure `t` on a triangulated category `C` and any object `X : C`, we define a spectral object `t.spectralObject X : SpectralObject C EInt` which roughly consists of all possible truncations of `X`.
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…anprover-community#35370) Given a t-structure `t` on a triangulated category `C` and any object `X : C`, we define a spectral object `t.spectralObject X : SpectralObject C EInt` which roughly consists of all possible truncations of `X`.
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…anprover-community#35370) Given a t-structure `t` on a triangulated category `C` and any object `X : C`, we define a spectral object `t.spectralObject X : SpectralObject C EInt` which roughly consists of all possible truncations of `X`.
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…anprover-community#35370) Given a t-structure `t` on a triangulated category `C` and any object `X : C`, we define a spectral object `t.spectralObject X : SpectralObject C EInt` which roughly consists of all possible truncations of `X`.
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Mar 10, 2026
…anprover-community#35370) Given a t-structure `t` on a triangulated category `C` and any object `X : C`, we define a spectral object `t.spectralObject X : SpectralObject C EInt` which roughly consists of all possible truncations of `X`.
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Given a t-structure
ton a triangulated categoryCand any objectX : C, we define a spectralobject
t.spectralObject X : SpectralObject C EIntwhich roughly consists of all possible truncations ofX.EIntthat use the octahedron axiom #35369truncLEandtruncGT#35364truncLTandtruncGEwhich use the octahedron axiom #35363truncLTandtruncGE#35362