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Canonical static concept record
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An additive category with a shift autoequivalence and distinguished triangles satisfying triangulation axioms.
stacks-triangulatedwp-triangulatednlab-triangulatedstacks-derived-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add triangulated structure satisfying TR1–TR4.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
stacks-triangulatedwp-triangulatednlab-triangulatedstacks-derived-textThis is an authored directed relation from the source endpoint to the target endpoint.
A derived category carries a canonical triangulated structure.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-derived-categorynlab-derived-categorystacks-derived-modulesstacks-triangulatedwp-triangulatednlab-triangulatedstacks-derived-textEach relation below starts at this concept.
No direct relations are authored in this direction.