3 problems

Let $\mathcal{C}$ be a non-contracting $\omega$-category freely generated by a precubical set. Let $M_n^{gl^-}(\mathcal{C})$ denote the degree-$n$ elements of the branching semi-gl…

Let $K$ be a precubical set, let $F(K)$ be the free non-contracting $\omega$-category generated by $K$, and let $\widehat{F(K)}$ denote its Kan completion. Let $C^{gl}$ and…

Let $C$ be a finite-dimensional geometric precubical set, let $n\in\mathbb{N}$, let $c\in C(n)$, and let $I^n$ be the standard $n$-cube. Write $\greal{C}$ for the geometric realiza…