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ON DIAGRAM-CHASING IN DOUBLE COMPLEXES.
- Source :
-
Theory & Applications of Categories . 2012, Vol. 26 Issue 2, p60-96. 37p. - Publication Year :
- 2012
-
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]
Details
- Language :
- English
- ISSN :
- 1201561X
- Volume :
- 26
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Theory & Applications of Categories
- Publication Type :
- Academic Journal
- Accession number :
- 88981040