11 citations · 34 across the 9 of their papers we have counts for
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math.CT2014★ 1 cited
Left Kan extensions that are algebraic over colax-idempotent 2-monads
Seerp Roald Koudenburg
Using the language of double categories we generalise a classical result on finite-product-preserving left Kan extensions, by Adámek and Rosický, to one on left Kan extensions that…
math.CT2014★ 11 cited
Algebraic Kan extensions in double categories
Seerp Roald Koudenburg
We study Kan extensions in three weakenings of the Eilenberg-Moore double category associated to a double monad, that was introduced by Grandis and Paré. To be precise, given a nor…
math.CT2014★ 6 cited
On pointwise Kan extensions in double categories
Seerp Roald Koudenburg
In this paper we consider a notion of pointwise Kan extension in double categories that naturally generalises Dubuc's notion of pointwise Kan extension along enriched functors. We…