Volume no :59, Issue no: 1, November (2019)

ON THE HILALI CONJECTURE FOR ODD GRADED HOMOTOPY GROUPS

Author's: Hassan Aaya, Mohamed Anas Hilali, Mohamed Rachid Hilali and Tarik Jawad
Pages: [9] - [17]
Received Date: August 21, 2019; Revised October 17, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122090

Abstract

The Hilali Conjecture (also known as conjecture H) [5] predicts that for any rationally elliptic and simply connected topological space X we always have

The goal of the present paper is to prove the Hilali conjecture for the topological spaces with odd homotopy groups satisfying some conditions, over the last years many works have tried to solve this conjecture in particular cases, e.g., [1], [4], [7], [8].

Keywords

Hilali conjecture, rational homotopy, Sullivan minimal model, homotopy, cohomology, commutative differential graded algebra, elliptic space.