On a Conjecture of Yamaguchi and Yokura

الملخص EN

Let F⟶E⟶pB be a fibration of simply connected elliptic spaces.

Our paper investigates the conjecture proposed by T.

Yamaguchi and S.

Yokura, states that dim Ker π∗pℚ≤ dim Ker H∗p;ℚ+1.

Our goal is to prove this conjecture when F and B satisfy the condition πevenFℚ=πevenBℚ=0.

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.