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Two Ways to Centralizers of Equivalence Relations

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Abstract

We investigate what is the common part of the action accessible and the fibrewise algebraically cartesian closed (facc) categories dealing with the existence of centralizers of equivalence relations. Doing this, we shall introduce some new aspects of the Beck-Chevalley commutation with respect to the fibration of points \(\P _{\mathbb C}\) and shall characterize the existence of those centralizers by a specific property of this same fibration.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, 50 Rue F. Buisson, BP 699, 62228, Calais Cedex, France

    Dominique Bourn

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  1. Dominique Bourn
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Correspondence to Dominique Bourn.

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Dedicated to George Janelidze on the occasion of his sixtieth birthday

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Bourn, D. Two Ways to Centralizers of Equivalence Relations. Appl Categor Struct 22, 833–856 (2014). https://doi.org/10.1007/s10485-013-9347-2

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  • DOI: https://doi.org/10.1007/s10485-013-9347-2

Keywords

Mathematics Subject Classification (2010)