2003arXiv (Cornell University)Open access

The category of opetopes and the category of opetopic sets

Eugenia Cheng

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Abstract

We give an explicit construction of the category Opetope of opetopes. We prove that the category of opetopic sets is equivalent to the category of presheaves over Opetope.

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We give an explicit construction of the category Opetope of opetopes. We prove that the category of opetopic sets is equivalent to the category of presheaves over Opetope.

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Available abstract

We give an explicit construction of the category Opetope of opetopes. We prove that the category of opetopic sets is equivalent to the category of presheaves over Opetope.

Key concepts: Closed category, Mathematics, Linguistics, Pure mathematics, Philosophy, Functor

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