A classification of small homotopy functors from spectra to spectra

Boris Chorny. "A classification of small homotopy functors from spectra to spectra." Fundamenta Mathematicae 234.2 (2016): 101-125. <http://eudml.org/doc/286457>.

@article{BorisChorny2016,
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.},
author = {Boris Chorny},
journal = {Fundamenta Mathematicae},
keywords = {model categories; homotopy functors; pro-spectra},
language = {eng},
number = {2},
pages = {101-125},
title = {A classification of small homotopy functors from spectra to spectra},
url = {http://eudml.org/doc/286457},
volume = {234},
year = {2016},
}

TY - JOUR
AU - Boris Chorny
TI - A classification of small homotopy functors from spectra to spectra
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 2
SP - 101
EP - 125
AB - 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.
LA - eng
KW - model categories; homotopy functors; pro-spectra
UR - http://eudml.org/doc/286457
ER -