8 problems

Let $(\Lambda V,d)$ be an elliptic minimal algebra whose differential has homogeneous length. Write … where $e$ is given by the formula of the theorem on homogeneous-length differe…

Let $X$ be a simply connected rationally elliptic space. Write $\boldsymbol{\pi_*(X)}$ for its rational homotopy groups and $H_*(X;\mathbb Q)$ for its rational homology groups. Hil…

Let $S$ be a simply connected finite CW complex, let $n$ be a natural number, and let $S$ be a simply connected finite Postnikov piece when the second formulation is considered. An…

A simply-connected topological space $X$ of finite type is rationally elliptic when its rational cohomology and rational homotopy are both finite dimensional. Elliptic Omnibus Conj…

Hilali's conjecture. The inequality

Relative Hilali conjecture. The inequality

Yamaguchi–Yokura's conjecture.

Lupton's conjecture. Either