Geodesic
A classification of small homotopy functors from spectra to spectra
Boris Chorny1
1 Department of Mathematics, Physics and Computer Science University of Haifa at Oranim Tivon 36006, Israel
Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 101-125

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm952-12-2015
Keywords: every small homotopy functor spectra spectra weakly equivalent filtered colimit representable functors represented cofibrant spectra moreover present classification quillen equivalence category small functors spectra spectra equipped homotopy model structure opposite pro category spectra strict model structure

Boris Chorny 1

1 Department of Mathematics, Physics and Computer Science University of Haifa at Oranim Tivon 36006, Israel 
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Boris Chorny. A classification of small homotopy functors from spectra to spectra. Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 101-125. doi: 10.4064/fm952-12-2015

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