4 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…

Multiple disjunction conjecture for Poincaré embeddings. If $r\geq2$, then the $r$-cube $E(Q_\bullet,N)$ is $(3-n+\Sigma)$-cartesian. This is one of the paper's conjectural extensi…

Let $N$ and $P$ be Poincaré spaces, and let $Q_1,\dots,Q_r$ be Poincaré spaces embedded in $N$. Let $\mathit{EF}(P,N-Q_\bullet)$ denote the $(r+1)$-cube obtained from the cube of P…

Poincaré embedding multiple disjunction conjecture. If the handle codimension restrictions are omitted and $r\geq1$, then the $r$-cube $E(P,N-Q_\bullet)$ is $(1-p+\Sigma)$-cartesia…