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BIFUNLTORS AND THE DIAGONAL EXACT SEQUENCES OF A CYLINDER-WEB DIAGRAM

 

作者: K.A. Hardie,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1979)
卷期: Volume 3, issue 3  

页码: 167-179

 

ISSN:1607-3606

 

年代: 1979

 

DOI:10.1080/16073606.1979.9631569

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The doubly infinite diagram of exact sequences that an additive bifunctor T associates with a pair of short exact sequences can be regarded as a web diagram lying on the surface of a cylinder. The diagram has six diagonal sequences involving two graded derived functors that arise through the failure of T to preserve pull-backs respectively push-outs. In the case T = Hom(-,-) one of the diagonal sequences is equivalent to the bivariant Hom-Ext sequence studied by Pressmann [4].

 

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