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A family of objects indexed by two degrees, usually pairs of integers.
A bigraded object is not merely a singly graded object with extra maps; the second grading is part of its indexing data.
wp-double-complexnlab-bigraded-objectstacks-derived-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Identify or replace the index set by a product of degree sets, usually .
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-graded-objectsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add differentials of bidegrees and (or the homological sign variant), require each square to vanish, and require anticommutation.
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.
wp-double-complexstacks-derived-text