Note on homotopy pullbacks in abelian categories
Thomas Müller (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Thomas Müller (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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West, Robert W. (1972)
Portugaliae mathematica
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J. Remedios-Gómez, S. Rodríguez-Machín (2001)
Extracta Mathematicae
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K. A. Hardie, K. H. Kamps (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.
West, Robert W. (1968)
Portugaliae mathematica
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A. Neeman (2000)
Fundamenta Mathematicae
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Giffen in [1], and Gillet-Grayson in [3], independently found a simplicial model for the loop space on Quillen's Q-construction. Their proofs work for exact categories. Here we generalise the results to the K-theory of triangulated categories. The old proofs do not generalise. Our new proof, aside from giving the generalised result, can also be viewed as an amusing new proof of the old theorems of Giffen and Gillet-Grayson.
Ronald Brown, Marek Golasinski (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Brinkmeier, Michael (2000)
Documenta Mathematica
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