Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598200 | Journal of Pure and Applied Algebra | 2006 | 27 Pages |
Abstract
We will provide an analysis of the generalized Atiyah–Hirzebruch spectral sequence (GAHSS), which was introduced by Hakim-Hashemi and Kahn. To do so, we introduce a new class of functors, called nn-exact functors, which are analogous to Goodwillie’s nn-excisive functors. In the study of these functors, we introduce a new spectral sequence, the homological Barratt–Goerss spectral sequence (HBGSS), which has properties similar to those of the classical Barratt–Goerss Spectral Sequence on homotopy. We close by giving an identification of the E2E2 term of the GAHSS in the case of 2-exact functors on Moore spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nathan Wodarz,