Sullivan-Quillen mixed type model for fibrations and the Haefliger model for the Gelfand-Fuks cohomology. (English) Zbl 0547.55008

Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 291-297 (1984).
Summary: [For the entire collection see Zbl 0535.00017.]
A graded Lie algebra of certain type over a differential graded algebra can be used as an algebraic model for a fibration, so that the model for the space of sections can be well-described. An application to the Gelfand-Fuks cohomology is stated.


55P62 Rational homotopy theory
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
55R05 Fiber spaces in algebraic topology


Zbl 0535.00017