Duality and Pro-Spectra.
Christensen, J.Daniel, Isaksen, Daniel C. (2004)
Algebraic & Geometric Topology
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Displaying similar documents to “Total cofibres of diagrams of spectra.”
Duality and Pro-Spectra.
A chain rule in the calculus of homotopy functors.
Klein, John R., Rognes, John (2002)
Geometry & Topology
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Algebraic -theory and etale cohomology
R. W. Thomason (1985)
Annales scientifiques de l'École Normale Supérieure
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Motivic symmetric spectra.
Jardine, J.F. (2000)
Documenta Mathematica
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A classification of small homotopy functors from spectra to spectra
Boris Chorny (2016)
Fundamenta Mathematicae
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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)
Archivum Mathematicum
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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.
Grandis, Marco (2001)
Theory and Applications of Categories [electronic only]
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Coherent prohomotopy theory
Timothy Porter (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Motivic functors.
Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)
Documenta Mathematica
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