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arxiv: 0710.5202 · v2 · submitted 2007-10-27 · 🧮 math.CT

The category of 3-computads is not cartesian closed

classification 🧮 math.CT
keywords categorycartesianclosedcomputadsargumentcategoriescorollaryeckmann-hilton
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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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