A classification of small homotopy functors from spectra to spectra
Algebraic Topology
2015-11-04 v2 Category Theory
Abstract
We show that every small homotopy functor from spectra to spectra 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 spectra equipped with the homotopy model structure and the opposite of the pro-category of spectra with the strict model structure.
Keywords
Cite
@article{arxiv.1303.7108,
title = {A classification of small homotopy functors from spectra to spectra},
author = {Boris Chorny},
journal= {arXiv preprint arXiv:1303.7108},
year = {2015}
}
Comments
Final version, to appear in Fund. Math