Free Products of Higher Operad Algebras

Mark Weber

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arXiv · 0909.4722

Free Products of Higher Operad Algebras

Mark Weber

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Abstract

One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product of 2-categories. In this paper we continue the developments of [3] and [2] by understanding the natural generalisations of Gray's little brother, the funny tensor product of categories. In fact we exhibit for any higher categorical structure definable by an n-operad in the sense of Batanin [1], an analogous tensor product which forms a symmetric monoidal closed structure on the category of algebras of the operad.

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Mark Weber. 2009-09-25. Free Products of Higher Operad Algebras. https://arxiv.org/abs/0909.4722

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