6 problems

Let $\Pi^{\natural} \subset \Lambda\otimes\mathbb{R}\subset V^{f\natural}_{tw}$ be a $4$-dimensional subspace, and let $\mathsf{Top}_{\Pi^{\natural}}$ be the full subcategory of to…

Let $SO_n$-dagger categories be the higher categories equipped with the oriented tangential structure described in the source, and let disk-like $n$-categories be the structures in…

Let ${\mathsf{Vect}}_{\operatorname{inj}}$ be the category of finite-dimensional real vector spaces and injective linear maps, and let ${\mathsf{AdjCat}}_n$ denote the $(\infty,1)$…

Let $\Pi^{\natural}\subset \Lambda\otimes\mathbb{R}\subset V^{f\natural}_{tw}$ be a four-dimensional subspace, and let $\mathsf{Top}_{\Pi^{\natural}}$ be the full subcategory of to…

Let $(\xi, \mathcal P)$ be a pair consisting of a tangential structure and a characteristic class as in the definition of a characteristic pair, and let $\xi'$ be a tangential stru…

Let $M$ be a manifold with a tangential structure, and let $F$ be an embedded submanifold that is Poincaré dual to a characteristic class of $M$. A characteristic structure is the…