A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

Abstract

Here we prove some special cases of the following conjecture: that 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.

arXiv comment4 pages

References in corpus (1)

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

Cited by in corpus (2)

• The Hilali Conjecture for hyperelliptic spaces
• A note on the Hilali conjecture