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1. ON DIAGRAM-CHASING IN DOUBLE COMPLEXES.

Author

BERGMAN, GEORGE M.

Subjects
*MATHEMATICAL complexes, *ABELIAN categories, *MORPHISMS (Mathematics), *HOMOLOGICAL algebra, *ARBITRARY constants, *CODOMAIN
Abstract

We construct, for any double complex in an abelian category, certain "short-distance" maps, and an exact sequence involving these, instances of which can be pieced together to give the "long-distance" maps and exact sequences of results such as the Snake Lemma. Further applications are given. We also note what the building blocks of an analogous study of triple complexes would be [ABSTRACT FROM AUTHOR]

Published
2012

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