Research Communication | Open Access
Volume 2020 | Communication ID 237 |

A generalization of the Hilali conjecture

SALOUA CHOUINGOU, M.ANAS HILALI, M.RACHID HILALI, ABDELHADI ZAIM
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
06 February 2020
21 February 2020
10 March 2020

Abstract: We focus on the relative Hilali conjecture proposed by T. Yamaguchi and Yokura, that for a continous map between two simply connected elliptic spaces f:X→Y, dim Ker Π_{∗}(f)_{ℚ}≤ dim Ker H_{∗}(f;Q)+1. Our aim in this paper is to prove this conjecture for fibrations whose fibre has at most two-oddly generators. Also we show it in the case H→G→ G╱H, where G is a compact connected Lie group and H is a closed sub-Lie group of G.