Total cofibres of diagrams of spectra.

Hüttemann, Thomas

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A chain rule in the calculus of homotopy functors.

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Motivic symmetric spectra.

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A classification of small homotopy functors from spectra to spectra

Boris Chorny (2016)

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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.

Heaps and unpointed stable homotopy theory

Lukáš Vokřínek (2014)

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In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.

A note on exactness and stability in homotopical algebra.

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Timothy Porter (1978)

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