Displaying similar documents to “Loop spaces of the Q-construction”

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.

Cochains and homotopy type

Michael A. Mandell (2006)

Publications Mathématiques de l'IHÉS

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Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E algebras is faithful but not full.