2 citations · 3 across the 5 of their papers we have counts for
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Very-Well-Behaved Epireflections for Categories of Models of Sketches
João J. Xarez
Firstly, precise conditions on how to obtain very-well-behaved epireflections are explored and improved from the author's previous papers; meaning that, beginning with a monad and…
The monotone-light factorization for n-categories via n-preorders
João J. Xarez
Starting with a symmetric monoidal adjunction with certain properties, one derives another symmetric monoidal adjunction with the same properties between the respective categories…
The monotone-light factorization for 2-categories via 2-prorders
João J. Xarez
It is shown that the reflection 2Cat --> 2Preord of the category of all 2-categories into the category of 2-preorders determines a monotone-light factorization system on 2Cat and t…
A pretorsion theory for the category of all categories
João J. Xarez
A pretorsion theory for the category of all categories is presented. The associated prekernels and precokernels are calculated for every functor.
Admissibility, stable units and connected components
J. J. Xarez
Consider a reflection from a finitely-complete category into its full subcategory , with unit . Suppose there is a left-exact…