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arXiv · 1709.01332

A Universal Characterisation of Codescent Objects

Alexander S. Corner
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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 extrapseudonatural 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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Alexander S. Corner. 2017-09-05. A Universal Characterisation of Codescent Objects. https://arxiv.org/abs/1709.01332

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