18 июн. 2024 г. · A bicategory is a particular algebraic notion of weak 2-category (in fact, the earliest to be formulated, and still the one in most common use).

In mathematics, a bicategory (or a weak 2-category) is a concept in category theory used to extend the notion of category to handle the cases where the ...

(mathematics) A particular construct in category theory, used to extend the notion of category to handle the cases where the composition of morphisms is not ( ...

2 апр. 2020 г. · A bicategory (or a weak 2-category) is a concept in category theory used to extend the notion of category to handle the cases where the composition of ... The bicategory of monoidal categories vs the tricategory of one ... Why is the bicategory viewpoint useful? - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

5 янв. 2023 г. · A bicategory of relations is a (1,2)-category which behaves like the 2-category of internal relations in a regular category. The notion is due ...

14 нояб. 2019 г. · I was wondering if there was a definition for what it means for a bicategory B with a terminal element 1 (i.e. for any object b, ...

Bicategories belong to a hierarchy of higher categories. According to the periodic table, a bicategory with one object is a monoidal category.

9 сент. 2023 г. · Many category-theoretic constructions produce interesting results when applied to the bicategory and not when applied to the quotient 1-category ...

16 февр. 2021 г. · Abstract:We want to replace categories, functors and natural transformations by categories, open functors and open natural transformations.

Span-∘ lets us make Spans into the categories of 1-cells of a prebicategory, the (pre)bicategory of spans (of C), Spans(C).