7 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 $S$ 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…

Relative Hilali conjecture. The inequality

Yamaguchi–Yokura's conjecture.

Lupton's conjecture. Either

Let $X$ be a 1-connected elliptic space, meaning that its rational homotopy groups and rational cohomology are finite-dimensional. Conjecture H. The cohomological dimension of $X$…