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math.CT2014★ 19 cited
Algebraically coherent categories
Alan S. Cigoli, James R. A. Gray, Tim Van der Linden
We call a finitely complete category algebraically coherent when the change-of-base functors of its fibration of points are coherent, which means that they preserve finite limits a…
math.CT2014★ 8 cited
Peri-abelian categories and the universal central extension condition
James R. A. Gray, Tim Van der Linden
We study the relation between Bourn's notion of peri-abelian category and conditions involving the coincidence of the Smith, Huq and Higgins commutators. In particular we show that…