On the additivity of the little cubes operads

Miguel Barata; Ieke Moerdijk

On the additivity of the little cubes operads

Algebraic Topology 2024-10-08 v2

Authors: Miguel Barata , Ieke Moerdijk

Abstract

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.

Keywords

little n-cubes operads dunn additivity operad tensor product proof

Cite

@article{arxiv.2205.12875,
  title  = {On the additivity of the little cubes operads},
  author = {Miguel Barata and Ieke Moerdijk},
  journal= {arXiv preprint arXiv:2205.12875},
  year   = {2024}
}

Comments

8 pages, 2 figures. We have added some extra remarks and improved the exposition; the proof of Lemma 5 has been fixed

On the additivity of the little cubes operads

Abstract

Keywords

Cite

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