Algebraically coherent categories: definition, examples and basic properties
(2014) 96th Peripatetic Seminar on Sheaves and Logic — Location: Palermo, Italie (11.October.2014)
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- Abstract
- In a recent article, we call a regular category algebraically coherent when the change-of-base functors in its fibration of points are coherent, which means that they preserve finite limits and jointly strongly epimorphic pairs of arrows. The present talk is an introduction to the concept of algebraic coherence, focusing on examples and basic properties. In particular, we will discuss equivalent conditions in the context of semi-abelian categories, as well as some consequences: amongst others, strong protomodularity, and normality of Higgins commutators of normal subobjects. (Joint work with Alan S. Cigoli and James R. A. Gray)
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Citations
Van der Linden, T. (2014). Algebraically coherent categories: definition, examples and basic properties. 96th Peripatetic Seminar on Sheaves and Logic, Palermo, Italie. https://hdl.handle.net/2078.5/61911