### Abstract

We describe a Cat-valued nerve of bicategories, which associates to every bicategory a simplicial object in Cat, called the 2-nerve. This becomes the object part of a 2-functor N : NHom → [Δ^{op},Cat], where NHom is a 2-category whose objects are bicategories and whose 1-cells are normal homomorphisms of bicategories. The 2-functor N is fully faithful and has a left biadjoint, and we characterize its image. The 2-nerve of a bicategory is always a weak 2-category in the sense of Tamsamani, and we show that NHom is biequivalent to a certain 2-category whose objects are Tamsamani weak 2-categories.

Original language | English |
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Pages (from-to) | 153-175 |

Number of pages | 23 |

Journal | K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences |

Volume | 38 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 2008 |