Equivariant rational homotopy theory as a closed model category
Using the result of \textit{D. A. Edwards} and \textit{H. M. Hastings} [Čech and Steenrod homotopy theories with applications to geometric topology, Lect. Notes Math. 542 (1976; Zbl 0334.55001)] the author proves that a closed model structure on a category \({\mathcal C}\) can be extended to the functor category \({\mathcal I}\)-\({\mathcal C}\) where the morphisms of the category \({\mathcal I}\) are isomorphisms. For a finite group \(G\), \({\mathcal I}\) denotes the category of the canonical orbits and \({\mathcal C}\) is the category of commutative differential graded algebras. So that the result of \textit{B. L. Fine} and \textit{G. Triantafillou} [Can. J. Math. 45, No. 6, 1200-1210 (1993; Zbl 0805.55009)] can be reproved.
scientific article; zbMATH DE number 1308282
scientific article