On the derived functors of destabilization and of iterated loop functors
Algebraic Topology
2017-07-19 v3
Abstract
These notes explain how to construct small functorial chain complexes which calculate the derived functors of destabilization (respectively iterated loop functors) in the theory of modules over the mod 2 Steenrod algebra; this shows how to unify results of Singer and of Lannes and Zarati.
Keywords
Cite
@article{arxiv.1503.08620,
title = {On the derived functors of destabilization and of iterated loop functors},
author = {Geoffrey Powell},
journal= {arXiv preprint arXiv:1503.08620},
year = {2017}
}
Comments
Minor revision; more detail provided on the Lannes-Zarati morphism and a new section giving perspectives. 32 pages. (v2 Minor revision. 25 pages.)