Verifying the Hilali conjecture up to formal dimension twenty
Algebraic Topology
2022-10-04 v1
Abstract
We prove that in formal dimension the Hilali conjecture holds, i.e. that the total dimension of the rational homology bounds from above the total dimension of the rational homotopy for a simply connected rationally elliptic space.
Cite
@article{arxiv.2210.00607,
title = {Verifying the Hilali conjecture up to formal dimension twenty},
author = {Spencer Cattalani and Aleksandar Milivojević},
journal= {arXiv preprint arXiv:2210.00607},
year = {2022}
}
Comments
9 pages. Initiated as part of the Stony Brook Directed Reading Program, 2019. Published in Journal of Homotopy and Related Structures, 2020