On the Singer functor R_1 and the functor Fix
Algebraic Topology
2009-12-07 v1
Abstract
Lannes' T-functor is used to give a construction of the Singer functor R_1 on the category U of unstable modules over the Steenrod algebra A. This leads to a direct proof that the composite functor Fix R_1 is naturally equivalent to the identity. Further properties of the functors R_1 are deduced, especially when applied to reduced and nilclosed unstable modules.
Keywords
Cite
@article{arxiv.0912.0839,
title = {On the Singer functor R_1 and the functor Fix},
author = {Geoffrey Powell},
journal= {arXiv preprint arXiv:0912.0839},
year = {2009}
}