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A bigraded object with horizontal and vertical differentials satisfying square-zero and anticommutation laws.
The usual total-complex construction additionally needs the relevant direct sums or products.
wp-double-complexnlab-double-complexstacks-double-complexEach relation below ends 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-textEach relation below starts at this concept.
No direct relations are authored in this direction.