On the category of props

Philip Hackney; Marcy Robertson

doi:10.1007/s10485-014-9369-4

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arXiv · 1207.2773

On the category of props

Philip Hackney·Marcy Robertson

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Abstract

The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. The titular category has nice formal properties: it is bicomplete and is a symmetric monoidal category, with monoidal product closely related to the Boardman-Vogt tensor product of operads. Tools developed in this article, which is the first part of a larger work, include a generalized version of multilinearity of functors, a free prop construction defined on certain "generalized graphs", and the relationship between the category of props and the categories of permutative categories and of operads.

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Philip Hackney, Marcy Robertson. 2014-01-28. On the category of props. https://doi.org/10.1007/s10485-014-9369-4

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