6 problems

An equivariant spectrum is connective when its fixed point spectra are connective. Bohmann–Osorno's conjecture. Every connective equivariant spectrum arises from Bohmann and Osorno…

Cartesian multicategories as retromodels. The category of cartesian models is the category of retromodels of $\ifstrequal{S}{1}{\mathds{1}}{\mathbb{S}}^\mathrm{op}$ in…

Let ${\mathcal A}$, ${\mathcal B}$, and ${\mathcal C}$ be double categories, let $Dbl_{hop}(-,-)$ denote the relevant category of double functors, let $Lax_{hop}(-,-)$ denote the r…

Let $\underline{\mathscr{B}}_{\sigma}$ be the multicategory analogue of the Burnside category associated to the Blanchet–Khovanov construction. Let…

An LNL polycategory is a polycategory equipped with a linear/nonlinear structure, and an LNL multicategory of Kleisli type is one whose storage modality is bijective on objects. Th…

Let $\mathbb{T}=\mathbb{M}$ be the free-monoid monad, let $\mathcal{V}$ be a category equipped with the monoidal structure $(X_1,\ldots,X_n)\mapsto X_1\otimes\dots\otimes X_n$, and…