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A Survey of Definitions of n-Category

Category Theory 2010-02-04 v1 Algebraic Geometry Algebraic Topology Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/0107188,
  title  = {A Survey of Definitions of n-Category},
  author = {Tom Leinster},
  journal= {arXiv preprint arXiv:math/0107188},
  year   = {2010}
}

Comments

67 pages; looks best printed double-sided