Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657649 | Topology | 2006 | 30 Pages |
Abstract
Classical homological algebra takes place in additive categories. In homotopy theory such additive categories arise as homotopy categories of “additive groupoid enriched categories”, in which a secondary analog of homological algebra can be performed. We introduce secondary chain complexes and secondary resolutions leading to the concept of secondary derived functors. As a main result we show that the E3E3-term of the Adams spectral sequence can be expressed as a secondary derived functor. This result can be used to compute the E3E3-term explicitly by an algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hans-Joachim Baues, Mamuka Jibladze,