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math.CT2023
Admissibility of Localizations of Crossed Modules
Olivia Monjon, Jérôme Scherer, Florence Sterck
The correspondence between the concept of conditional flatness and admissibility in the sense of Galois appears in the context of localization functors in any semi-abelian category…
math.CT2022★ 3 cited
Conditional flatness, fiberwise localizations, and admissible reflections
Marino Gran, Jérôme Scherer
We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of…
math.CT2022★ 1 cited
Non-existence of fiberwise localization for crossed modules
Olivia Monjon, Jérôme Scherer, Florence Sterck
We prove that localization functors of crossed modules of groups do not always admit fiberwise (or relative) versions. To do so we characterize the existence of a fiberwise localiz…