A classification of small homotopy functors from spectra to spectra

• Autorzy: Boris Chorny
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18G55: Homotopical algebra
• 55P42: Stable homotopy theory, spectra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 234
• Numer: 2
• Strony: 101-125

Daty

wydano

2016

Twórcy

autor

Boris Chorny

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

Identyfikatory

DOI

10.4064/fm952-12-2015