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.