%0 Journal Article %T On a Conjecture of Yamaguchi and Yokura %A Chouingou %A Saloua %A Hilali %A Mohamed Anas %A Zaim %A Abdelhadi %J - %D 2020 %R https://doi.org/10.1155/2020/3195926 %X Let be a fibration of simply connected elliptic spaces. Our paper investigates the conjecture proposed by T. Yamaguchi and S. Yokura, states that dim Ker dim Ker . Our goal is to prove this conjecture when and satisfy the condition . We go also on to establish a well-known conjecture of Hilali for a class of spaces which puts it into the context of fibration %U https://www.hindawi.com/journals/ijmms/2020/3195926/