Free algebras through Day convolution

نویسندگان

چکیده

Building on the foundations in our previous paper, we study Segal conditions that are given by finite products, determined structures call cartesian patterns. We set up Day convolution presheaves this setting and use it to give under which there is a colimit formula for free algebras other left adjoints. This specializes simple proof of Lurie's results operadic Kan extensions symmetric $\infty$-operads.

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ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2022

ISSN: ['1472-2739', '1472-2747']

DOI: https://doi.org/10.2140/agt.2022.22.3401