A classification of small homotopy functors from spectra to spectra

Boris Chorny

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arXiv · 1303.7108

A classification of small homotopy functors from spectra to spectra

Boris Chorny

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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.

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Boris Chorny. 2013-03-28. A classification of small homotopy functors from spectra to spectra. https://arxiv.org/abs/1303.7108

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