PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

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


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.


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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image