On the derived functors of destabilization and of iterated loop functors
arXiv:1503.08620
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.
Minor revision; more detail provided on the Lannes-Zarati morphism and a new section giving perspectives. 32 pages. (v2 Minor revision. 25 pages.)