A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting

Bourn, Dominique;Martins-Ferreira, Nelson;Van der Linden, Tim
(2013) Cahiers de Topologie et Geometrie Differentielle Categoriques — Vol. 54, n° 3, p. 163-183 (2013)

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  • Bourn, DominiqueUniversite du Littoral Cote d'Opale
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  • Martins-Ferreira, NelsonInstituto Politecnico de Leiria
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Abstract
We give a characterisation of the “Smith is Huq” condition for a pointed Mal’tsev category C by means of a property of the fibration of points, namely: any change of base functor reflects commuting of normal subobjects.
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Citations

Bourn, D., Martins-Ferreira, N., & Van der Linden, T. (2013). A characterisation of the “Smith is Huq” condition in the pointed Mal’tsev setting. Cahiers de Topologie et Geometrie Differentielle Categoriques, 54(3), 163-183. https://hdl.handle.net/2078.5/61259 (Original work published 2013)