The category of 3-computads is not cartesian closed

Mathematics – Category Theory

Scientific paper

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Scientific paper

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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