The Lifting Theorem for Multitensors
Category Theory
2011-06-13 v1
Abstract
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.
Cite
@article{arxiv.1106.1979,
title = {The Lifting Theorem for Multitensors},
author = {Michael Batanin and Denis-Charles Cisinski and Mark Weber},
journal= {arXiv preprint arXiv:1106.1979},
year = {2011}
}
Comments
26 pages