A conjectured lower bound for the cohomological dimension of elliptic spaces

Mohamed Rachid Hilali and My Ismail Mamouni

Here we prove some special cases of the following conjecture: the sum of the Betti numbers of a 1-connected elliptic space is greater than the total rank of its homotopy groups. Our main tool is Sullivan's minimal model.

Journal of Homotopy and Related Structures, Vol. 3(2008), No. 1, pp. 379-384