On the additivity of the little cubes operads

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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 and simpler than the proofs of Dunn or Brinkmeier. At the end we remark on how our proof can be adjusted to the case of the tensor product of a finite number of factors.

Original languageEnglish
Pages (from-to)171-179
Number of pages9
JournalHomology, Homotopy and Applications
Volume27
Issue number2
DOIs
Publication statusPublished - 2025

Bibliographical note

Publisher Copyright:
Copyright © 2025, International Press. Permission to copy for private use granted.

Keywords

  • 18M75
  • 55P48
  • Boardman–Vogt tensor product
  • Dunn additivity
  • topological operad

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