3 problems

Let $X$ be a finitely dominated H-space, meaning a pointed space with a map $X\times X\to X$ whose restriction to $X\vee X$ is homotopic to the folding map. Its finiteness obstruct…

Let $p$ be a prime, let $n,r$ be positive integers, and let $P^{2n}(p^r)\xrightarrow{i}T_{2n-1}(p^r)$ be the canonical map. A space $Z$ is strongly $(2n,r)$-subexponential if … for…

A finite CW-complex is a CW-complex with finitely many cells, and an H-space is a based space equipped with a multiplication having a homotopy unit. The notation $S^7$ denotes the…