Geodesic
A universal characterisation of codescent objects
Theory and applications of categories, Tome 34 (2019), pp. 684-713

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

In this work we define a 2-dimensional analogue of extranatural transformation and use these to characterise codescent objects. They will be seen as universal objects amongst pseudo-extranatural transformations in a similar manner in which coends are universal objects amongst extranatural transformations. Some composition lemmas concerning these transformations are introduced and a Fubini theorem for codescent objects is proven using the universal characterisation description.

Publié le :
Classification : 18D05, 18D10
Keywords: Codescent object, pseudo-extranatural, Fubini 
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     author = {Alexander S. Corner},
     title = {A universal characterisation of codescent objects},
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     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a23/}
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Alexander S. Corner. A universal characterisation of codescent objects. Theory and applications of categories, Tome 34 (2019), pp. 684-713. http://geodesic.mathdoc.fr/item/TAC_2019_34_a23/