A universal characterisation of codescent objects

CORNER, Alexander (2019). A universal characterisation of codescent objects. Theory and Applications of Categories, 34 (24), 684-713. [Article]

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Abstract
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.
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