A universal characterisation of codescent objects

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

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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.

Item Type: Article
Uncontrolled Keywords: 0101 Pure Mathematics; General Mathematics
Page Range: 684-713
SWORD Depositor: Symplectic Elements
Depositing User: Symplectic Elements
Date Deposited: 10 Sep 2019 11:54
Last Modified: 18 Mar 2021 03:30
URI: https://shura.shu.ac.uk/id/eprint/25080

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