2 problems

Let $M$ be a connected Poincaré duality space of dimension $d$ satisfying Hypothesis: either $M$ is homotopy finite, or $M$ is finitely dominated and the Bass trace conjecture hold…

Let $M$ be a $k$-connected Poincaré duality space over $\mathbb K$ of dimension $m$, with orientation class $\omega\in H^m(M)$. Let … and define $\lambda_\gamma\in\mathbb K$ by … w…