nLab Sjoerd Crans

Sjoerd Crans has mainly worked on aspects of the algebraic definition of higher categories, notably on clarifying the right monoidal structure on globular ∞-categories that achieves the analogous effect that the simple cartesian product does on simplicial sets. This is now known as the Crans-Gray tensor product.

Crans also made an influential contribution to the theory of models for ∞-stack (∞,1)-toposes in his study of the model structure on simplicial sheaves.

Selected writings

On what came to be called the Crans-Gray tensor product:

  • Sjoerd Crans: A tensor product for GrayGray-categories, Theory and Applications of Categories 5 2 (1999) 12-69 [tac:5-02, pdf]

On braided monoidal 2-categories and sylleptic monoidal 2-categories:

A collection of articles by Sjoerd Crans is here:

Related entries

category: people

Last revised on August 30, 2025 at 11:33:05. See the history of this page for a list of all contributions to it.