The conjecture H: A lower bound of cohomologic dimension for an elliptic space

Abstract

The goal of this paper is to ameliorate the sufficients conditions, already established by the first author so that the sum of the numbers of Betti, of 1-connected rational finite CW-complex, is higher than the dimension of his $\mathbb{Q}$-vectorial space of homotopy, we will present it in two aspects, one algebraic and another geometrical.

18 pages; Work exposed by the second author in the Algebraic topology conference of Angers, France, October 2007

Cited by in corpus (2)

• A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases
• A note on the Hilali conjecture