2003Theory and applications of categoriesOpen 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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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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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: Enriched category, Closed category, Concrete category, 2-category, Mathematics, Category of groups, Biproduct, Category theory

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