The Lifting Theorem for Multitensors

Batanin Michael (1) , Denis-Charles Cisinski (2) , Mark Weber (1)

1 Macquarie University
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We continue to develop the theory of monads and multitensors. The central result of this paper - the lifting theorem for multitensors - enables us to see the Gray tensor product of 2-categories and the Crans tensor product of Gray categories as part of our emerging framework. Moreover we explain how our lifting theorem gives an alternative description of Day convolution in the unenriched context.

Domaines: Catégories et ensembles [math.CT]; Topologie algébrique [math.AT]

Batanin Michael, Denis-Charles Cisinski, Mark Weber. The Lifting Theorem for Multitensors. 2011. ⟨hal-00606274v1⟩