80 citations · 164 across the 15 of their papers we have counts for
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The Lifting Theorem for Multitensors
Michael Batanin, Denis-Charles Cisinski, Mark Weber
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…
Polynomials in categories with pullbacks
Mark Weber
The theory developed by Gambino and Kock, of polynomials over a locally cartesian closed category E, is generalised for E just having pullbacks. The 2-categorical analogue of the t…
Multitensors as monads on categories of enriched graphs
Mark Weber
In this paper we unify previous developments on higher operads and multitensors into a single framework in which the interplay between multitensors on a category V, and monads on t…
Monads with arities and their associated theories
Clemens Berger, Paul-André Melliès, Mark Weber
After a review of the concept of "monad with arities" we show that the category of algebras for such a monad has a canonical dense generator. This is used to extend the corresponde…