Sullivan-Quillen mixed type model for fibrations
The interest of the Sullivan-Quillen mixed type models, of a fibration, introduced by \textit{A. Haeflinger} [Am. Sci. Ec. Norm. Supér., IV. Sér. 9, 503-532 (1976; Zbl 0342.57014)], lies in the following facts. The ''relative'' cochain complex \(C^*_ A(L)\) is a Sullivan model for the total space of a fibration, while the ''absolute'' cochain complex \(C^*(L)\) is a Sullivan model for the cross section space as proved in the first part of this paper. In studying fibrations whose fiber has the homotopy type of a bouquet of spheres, the author deduces the explicit description of the minimal model of the classical D. G. A.'s inclusion \(I_ n\hookrightarrow \hat WO_ n\).
minimal differential graded algebra model of a space
model for the space of sections of a fibration
scientific article; zbMATH DE number 3856003