A Survey of Definitions of n-Category

Abstract

Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently. Chatty bibliography follows.

67 pages; looks best printed double-sided

Cited by in corpus (10)

• A Prehistory of n-Categorical Physics
• Weak omega-categories from intensional type theory
• Life-Space Foam: a Medium for Motivational and Cognitive Dynamics
• Causal sites as quantum geometry
• A homotopy coherent cellular nerve for bicategories
• Determinant bundles, boundaries, and surgery
• Higher Gauge Theory
• Weakly invertible cells in a weak $\omega$-category
• CaTT contexts are finite computads
• Monoidal weak omega-categories as models of a type theory