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

preprint2012arXivOpen access

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.

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