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arXiv · 0710.5202

The category of 3-computads is not cartesian closed

Mihaly Makkai·Marek Zawadowski
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Abstract

We show, using Eckmann-Hilton argument, that the category of 3-computads is not cartesian closed. As a corollary we get that neither the category of all computads nor the category of n-computads, for n>2, do form locally cartesian closed categories, and hence elementary toposes.

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Mihaly Makkai, Marek Zawadowski. 2008-06-16. The category of 3-computads is not cartesian closed. https://arxiv.org/abs/0710.5202

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