LS-category of classifying spaces.
Gatsinzi, J.B. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Similarity:
Displaying similar documents to “LS-category of classifying spaces. II.”
LS-category of classifying spaces.
Rational homotopy type of nilpotent and complete spaces
Golasiński, Marek
Similarity:
-space structure on pointed mapping spaces.
Félix, Yves, Tanré, Daniel (2005)
Algebraic & Geometric Topology
Similarity:
A proof of the Baues-Lemaire conjecture in rational homotopy theory
Majewski, Martin
Similarity:
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...
Cochains and homotopy type
Michael A. Mandell (2006)
Publications Mathématiques de l'IHÉS
Similarity:
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.
Exploring W.G. Dwyer's tame homotopy theory.
Hans Scheerer, Daniel Tanré (1991)
Publicacions Matemàtiques
Similarity:
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,...