English

A direct proof that the category of 3-computads is not cartesian closed

Category Theory 2012-12-13 v2

Abstract

We prove by counterexample that the category of 3-computads is not cartesian closed, a result originally proved by Makkai and Zawadowski. We give a 3-computad B and show that the functor _ x B does not have a right adjoint, by giving a coequaliser that is not preserved by it.

Keywords

Cite

@article{arxiv.1209.0414,
  title  = {A direct proof that the category of 3-computads is not cartesian closed},
  author = {Eugenia Cheng},
  journal= {arXiv preprint arXiv:1209.0414},
  year   = {2012}
}

Comments

8 pages (corrected typo in bibliography)