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Tensor product of dendroidal sets

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Abstract

Like any category of presheaves, the category of dendroidal sets is cartesian closed. In this lecture, we will discuss another monoidal structure, which is also closed, and seems more relevant than the cartesian structure. It is closely related to the tensor product of operads introduced by Boardman and Vogt, and it makes the embedding of simplicial sets into dendroidal sets into a strong monoidal functor.

Keywords

  • Tensor Product
  • Natural Isomorphism
  • Black Vertex
  • Monoidal Structure
  • Symmetric Monoidal Category

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Ieke Moerdijk .

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© 2010 Springer Basel AG

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Moerdijk, I., Toën, B. (2010). Tensor product of dendroidal sets. In: Simplicial Methods for Operads and Algebraic Geometry. Advanced Courses in Mathematics - CRM Barcelona. Springer, Basel. https://doi.org/10.1007/978-3-0348-0052-5_4

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