Note on homotopy pullbacks in abelian categories
Thomas Müller (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Heaps and unpointed stable homotopy theory”
Note on homotopy pullbacks in abelian categories
Modulo homotopy
J. R. Dennett (1982)
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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Directed homotopy theory, II. Homotopy constructs.
Grandis, Marco (2002)
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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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.
A proof of the Baues-Lemaire conjecture in rational homotopy theory
Majewski, Martin
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This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of and [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined in a...