Free Products of Higher Operad Algebras

Details Free Products of Higher Operad Algebras Free Products of Higher Operad Algebras

2009-09-25

arxiv.org/abs/0909.4722v1

Mathematics

Category Theory

35 pages

Scientific paper

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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