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arXiv · 1607.06034

2-fold complete Segal operads

Sanath Devalapurkar
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Abstract

We define the notion of Cartesian 2-fibrations, and prove a weak analogue of straightening. Using Barwick's notion of operator categories and the notion of a Cartesian 2-fibration, we extend the notion of $\infty$-operads to the $(\infty,2)$-categorical context. These $(\infty,2)$-operads are used to define and study 2-rings in the $\infty$-categorical context.

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Sanath Devalapurkar. 2016-07-14. 2-fold complete Segal operads. https://arxiv.org/abs/1607.06034

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