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On The Combinatorics of the Gray Cylinder

Published 28 Jun 2022 in math.CT | (2206.13725v1)

Abstract: This paper develops some combinatorics of the lax Gray cylinder on the cells of {\Theta} understood as a full subcategory of the category of strict {\omega}-categories. More, we construct a span relating the Cartesian cylinder, the Gray cylinder, and the shift functor.

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