Cosimplicial resolutions and homotopy spectral sequences in model categories.

Bousfield, A.K.

Displaying similar documents to “Cosimplicial resolutions and homotopy spectral sequences in model categories.”

Heller's axioms for homotopy theory

Jerome William Hoffman (1996)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Duality and Pro-Spectra.

Christensen, J.Daniel, Isaksen, Daniel C. (2004)

Algebraic & Geometric Topology

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Closed model categories for $[n, m,]$ -types.

Extremiana Aldana, J.Ignazio, Hernández Paricio, L.Javier, Rivas Rodríguez, M.Teresa (1997)

Theory and Applications of Categories [electronic only]

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Abstract homotopy theory in procategories

Timothy Porter (1976)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Non functorial cylinders in a model category

J. García-Calcines, P. García-Díaz, S. Rodríguez-Machín (2006)

Open Mathematics

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Taking cylinder objects, as defined in a model category, we consider a cylinder construction in a cofibration category, which provides a reformulation of relative homotopy in the sense of Baues. Although this cylinder is not a functor we show that it verifies a list of properties which are very closed to those of an I-category (or category with a natural cylinder functor). Considering these new properties, we also give an alternative description of Baues’ relative homotopy groupoids. ...

Exploring W.G. Dwyer's tame homotopy theory.

Hans Scheerer, Daniel Tanré (1991)

Publicacions Matemàtiques

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Let S be the category of r-reduced simplicial sets, r ≥ 3; let L be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of S is equivalent to the associated homotopy category of L. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology,...