A classification of small linear functors
Algebraic Topology
2015-10-20 v2
Abstract
We extend Goodwillie's classification of finitary linear functors to arbitrary small functors. That is we show that every small linear simplicial functor from spectra to simplicial sets is weakly equivalent to a filtered colimit of representable functors represented in cofibrant spectra. Moreover, we present this classification as a Quillen equivalence of the category of small functors from spectra to simplicial sets equipped with the linear model structure and the opposite of the pro-category of spectra with the strict model structure.
Cite
@article{arxiv.1409.8525,
title = {A classification of small linear functors},
author = {Boris Chorny},
journal= {arXiv preprint arXiv:1409.8525},
year = {2015}
}
Comments
22 pages. Minor corrections.To appear in IMRN. arXiv admin note: substantial text overlap with arXiv:1303.7108