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A classification of small homotopy functors from spectra to spectra

Volume 234 / 2016

Boris Chorny Fundamenta Mathematicae 234 (2016), 101-125 MSC: Primary 18G55; Secondary 55P42. DOI: 10.4064/fm952-12-2015 Published online: 2 March 2016

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.

Authors

  • Boris ChornyDepartment of Mathematics, Physics and Computer Science
    University of Haifa at Oranim
    Tivon 36006, Israel
    e-mail

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