WebFor instance, every monoidal category is equivalent to a strict monoidal category, where the associativity and unit isomorphisms are identities, but not every braided monoidal category is equivalent to a strictly braided one where the braiding is an identity. WebDec 28, 2024 · closed monoidal structure on presheaves. Day convolution. Theorems. coherence theorem for monoidal categories. monoidal Dold-Kan correspondence. In higher category theory. monoidal 2-category. braided monoidal 2-category; monoidal bicategory. cartesian bicategory; k-tuply monoidal n-category. little cubes operad; …

Loop spaces, and coherence for monoidal and braided

WebBraided monoidal categories have applications in quantum information, quantum field theory, and string theory. Formal definition [ edit ] A monoidal category is a category C … WebThe braided monoidal structure of the ambient bicategory is given by the definition of a semistrict 4-category built into Globular. The syllepsis and its symmetry coherence … roped full movie

Groups and Hopf Algebras SpringerLink

WebDec 16, 2024 · Braided fishing lines are woven from multiple synthetic fibers such as Dacron, Micro-Dyneema or Spectron. These types of lines are dense, thin and taut, … WebOur sketch of proof uses braided categories. Other problems are also proposed. ... 2.4 in order to obtain a new Yang-Baxter operator defined over V ″ = V ⊕ V ′, which will generate the braiding of a monoidal category. ... Hoffnung, A.E. The Hecke bicategory. Axioms 2012, 1, 291–323. [Google Scholar] WebA braided monoidal category is a monoidal category equipped with a braiding—that is, a commutativity constraint that satisfies axioms including the hexagon identities defined … roped flag