On the additivity of the little cubes operads

Miguel Barata, Ieke Moerdijk

Published 2022-05-25Version 1

We give a new proof of Dunn's additivity for the little $n$-cubes operads $C_n$, which has the advantage of being considerably shorter than the ones in the literature. At the end we remark on how our proof can be adjusted to work for the tensor product of a finite number of factors.