2 problems

Let $M_1$ and $M_2$ be closed odd-dimensional triangulated manifolds, and let $M_1 \# M_2$ be any connected sum. Let $\Omega(M)$ denote Thompson's width. Odd-dimensional connected-…

Let $M_1$ and $M_2$ be $n$-dimensional simplicial manifolds, and choose a connected sum $M_1 \# M_2$. Here $\Omega(M)$ denotes Thompson's width of a simplicial manifold $M$. Connec…