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math.CT2012
Two dimensional monadicity
John Bourke
The behaviour of limits of weak morphisms in 2-dimensional universal algebra is not 2-categorical in that, to fully express the behaviour that occurs, one needs to be able to quant…
math.CT2012★ 1 cited
A colimit decomposition for homotopy algebras in Cat
John Bourke
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to othe…