6 дней назад · A monoidal bicategory is a bicategory with a monoidal structure, which is up-to-equivalence in a suitable bicategorical sense. A concise ...

9 мая 2024 г. · We develop further the theory of monoidal bicategories by introducing and studying bicategorical counterparts of the notions of a linear explonential comonad.

4 окт. 2012 г. · A Picard 2-category is a symmetric monoidal bicategory in which every 2-cell is invertible, every 1-cell is an equivalence, and every object has ... Symmetric Monoidal Bicategories and (n×k)-categories Quasistrict Symmetric Monoidal 2-Categories via Wire Diagrams Другие результаты с сайта golem.ph.utexas.edu

21 окт. 2019 г. · We present a method of constructing monoidal, braided monoidal, and symmetric monoidal bicategories from corresponding types of monoidal double categories.

The definition and calculus of extraordinary natural transformations [EK] is extended to a context internal to any autonomous monoidal bicategory [DyS]. The ...

In a monoidal bicategory, we have a way of multiplying their objects, maps and 2-maps, subject to complex axioms. Monoidal bicategories, introduced in the ...

7 окт. 2012 г. · Every monoidal bicategory is equivalent to a Gray-monoid. The second version is a direct corollary of the coherence theorem for tricategories.

21 мар. 2024 г. · To some extent, we replace the monoidal category of k-modules by the monoidal bicategory. Modop whose morphisms are two-sided modules on which ...

There is a symmetric monoidal bicategory Prof consisting of categories, profunctors, and natural transformations [DS97]. A promonoidal category is then a ...

Symmetric monoidal bicategories appear in many contexts in mathematics. One example is Bimod, the bicategory of rings, bimodules and homomorphisms of bimodules, ...