20 авг. 2022 г. · The (unitary) geometric nerve is a natural nerve operation on bicategories. It is a functor from BiCat to sSet. This is also sometimes called the Duskin nerve.

An online resource for homotopy-coherent mathematics.

A 2-categorical analog of the nerve of ordinary categories goes by the name of Duskin nerve. It first occurred as an instance of Street's nerve of ω-categories ...

16 июл. 2023 г. · The Duskin nerve sends a 2-category C to the simplicial set whose n-th term is the set of normal lax 2-functors [n]→C. The Duskin nerve ... How do the various homotopy 2-categories compare? A general theory of coherent nerves - MathOverflow Groupoids-> Kan Complexes. Nerve: Bicategories w. adjoints Applications of the simplex 2-category and its higher ... Другие результаты с сайта mathoverflow.net

14 окт. 2019 г. · Abstract:We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, ...

The Duskin nerve of the free 2-cell has precisely two non- degenerate simplices in each positive dimension. This result was unexpected to us, and we were able ...

5 окт. 2024 г. · For 2-categories modeled as bicategories the nerve operation is called the Duskin nerve. Proposition 3.17. A simplicial set is the Duskin nerve ...

An online resource for homotopy-coherent mathematics.

We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, and in particular of any 2-category ...