Chain homotopy pullbacks and pushouts
Y. L. Wong (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “The homotopy category of chain complexes is a homotopy category”
Chain homotopy pullbacks and pushouts
On the locally finite chain algebra of a proper homotopy type.
Baues, Hans-Joachim, Quintero, Antonio (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Harold M. Hastings (1979)
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Note on homotopy pullbacks in abelian categories
Thomas Müller (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A note on exactness and stability in homotopical algebra.
Grandis, Marco (2001)
Theory and Applications of Categories [electronic only]
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Simplicial Sets from Categories.
D.M. Latch, R.W. Thomason, W.S. Wilson (1978/79)
Mathematische Zeitschrift
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Modulo homotopy
J. R. Dennett (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Directed homotopy theory, II. Homotopy constructs.
Grandis, Marco (2002)
Theory and Applications of Categories [electronic only]
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Loop spaces of the Q-construction
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.