Subject: spaces with polynomial cohomology Date: Sat, 31 Mar 2001 17:13:04 +0200 From: Max Karoubi I "discovered" recently the following fact : let k be an arbitrary commutative ring and X a space such that its k-cohomology H*(X) is a polynomial algebra with a countable set of generators (viewed as a DGA with 0-differential). Then the DGA of k-cochains C*(X) is related to H*(X) by a zigzag sequence of 2 quasi-isomorphisms of DGA's. The proof of this fact is quite easy and I presume it is hidden somewhere in the litterature. Does anybody know a reference ? -- _________________________________ Max Karoubi Equipe Topologie et Geometrie Algebriques Institut de Mathematiques de Jussieu Universite Paris 7-Denis Diderot - Case 7012 175/179 rue du Chevaleret (bureau 9D1) 75013 PARIS - FRANCE Tel. et FAX : 01-4427-7953 ; Secr. 01-4427-6932 International : (33) 1-4427-7953 ; (33) 1-4427-6932 e.mail et Web : karoubi@math.jussieu.fr ; http://www.math.jussieu.fr/~karoubi/