The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Exploring W.G. Dwyer's tame homotopy theory.”

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.