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Descent for Regular Epimorphisms in Barr Exact Goursat Categories

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Abstract

We show that the category of regular epimorphisms in a Barr exact Goursat category is almost Barr exact in the sense that (it is a regular category and) every regular epimorphism in it is an effective descent morphism.

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Author information

Authors and Affiliations

  1. Dept. Math. and Appl. Math., University of Cape Town, Rondebosh 7701, Cape Town, South Africa

    George Janelidze

  2. Departamento de Matemática, Universidade de Coimbra, 3001-454, Coimbra, Portugal

    Manuela Sobral

Authors
  1. George Janelidze
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  2. Manuela Sobral
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Corresponding author

Correspondence to Manuela Sobral.

Additional information

Dedicated to the memory of Gregory Maxwell Kelly.

George Janelidze was partially supported by South African NRF.

Manuela Sobral was partially supported by FCT/Centro de Matemática da Universidade de Coimbra.

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Janelidze, G., Sobral, M. Descent for Regular Epimorphisms in Barr Exact Goursat Categories. Appl Categor Struct 19, 271–276 (2011). https://doi.org/10.1007/s10485-009-9199-y

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  • DOI: https://doi.org/10.1007/s10485-009-9199-y

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