Add to ORKGWe give another proof of the fact that there is a dual equivalence between the $\infty$-category of monoidal $\infty$-categories with left adjoint oplax monoidal functors and that with right adjoint lax monoidal functors by constructing a perfect pairing between them. We also show a uniqueness of such equivalences.Comment: 16 pages, some errors fixe
We discuss Tannaka reconstruction in general categories, not necessarily vector spaces. For an excel...
AbstractLet T:A → L be an (L, M)-topological functor and S:B → Y a faithful functor. Let F:L → Y and...
AbstractWe give a 3-categorical, purely formal argument explaining why on the category of Kleisli al...
We use Lurie's symmetric monoidal envelope functor to give two new descriptions of $\infty$-operads:...
Funding Information: During the preparation of this manuscript FH and SL were members of the Hausdor...
AbstractStrong monoidal functors U:C→M with left adjoints determine, in a universal way, monoids T i...
Let $U:\mathcal{C}\rightarrow\mathcal{D}$ be a strong monoidal functor between abelian monoidal cate...
Monoidal objects (or pseudomonoids) in monoidal bicategories share many of the properties of the par...
Benabou pointed out in 1963 that a pair f --l u : A -> B of adjoint functors induces a monoidal func...
AbstractStrong monoidal functors U:C→M with left adjoints determine, in a universal way, monoids T i...
63 pagesWe define a notion of category enriched over an oplax monoidal category $V$, extending the u...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations wi...
AbstractMorita equivalence has been studied for categories enriched over a monoidal category. For su...
We discuss Tannaka reconstruction in general categories, not necessarily vector spaces. For an excel...
AbstractLet T:A → L be an (L, M)-topological functor and S:B → Y a faithful functor. Let F:L → Y and...
AbstractWe give a 3-categorical, purely formal argument explaining why on the category of Kleisli al...
We use Lurie's symmetric monoidal envelope functor to give two new descriptions of $\infty$-operads:...
Funding Information: During the preparation of this manuscript FH and SL were members of the Hausdor...
AbstractStrong monoidal functors U:C→M with left adjoints determine, in a universal way, monoids T i...
Let $U:\mathcal{C}\rightarrow\mathcal{D}$ be a strong monoidal functor between abelian monoidal cate...
Monoidal objects (or pseudomonoids) in monoidal bicategories share many of the properties of the par...
Benabou pointed out in 1963 that a pair f --l u : A -> B of adjoint functors induces a monoidal func...
AbstractStrong monoidal functors U:C→M with left adjoints determine, in a universal way, monoids T i...
63 pagesWe define a notion of category enriched over an oplax monoidal category $V$, extending the u...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations wi...
AbstractMorita equivalence has been studied for categories enriched over a monoidal category. For su...
We discuss Tannaka reconstruction in general categories, not necessarily vector spaces. For an excel...
AbstractLet T:A → L be an (L, M)-topological functor and S:B → Y a faithful functor. Let F:L → Y and...
AbstractWe give a 3-categorical, purely formal argument explaining why on the category of Kleisli al...