2 problems

Let $T^p$ be a $p$-dimensional torus embedded in $S^{p+2}$. Consider extendable homeomorphisms of the embedding, and distinguish their mapping classes in $\operatorname{MCG}(T^p)$…

Let $m,p_1,dots,p_r$ satisfy … for all $k,j=1,\dots,r$. Consider the sets $\mathcal{T}^{m+1}(\vee_{k=1}^r S^{p_k+1})$ and $\mathcal{H}_+(m+1;p_1+1,\dots,p_r+1)$, related by the cor…