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The nominal/FM Yoneda Lemma

Published online by Cambridge University Press:  05 April 2021

R. L. Crole Open the ORCID record for R. L. Crole [Opens in a new window]
R. L. Crole*
Affiliation:
School of Informatics, University of Leicester, University Road, Leicester, LE1 7RH, UK
*
*Corresponding author. Email: rlc3@le.ac.uk
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Abstract

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This paper explores versions of the Yoneda Lemma in settings founded upon FM sets. In particular, we explore the lemma for three base categories: the category of nominal sets and equivariant functions; the category of nominal sets and all finitely supported functions, introduced in this paper; and the category of FM sets and finitely supported functions. We make this exploration in ordinary, enriched and internal settings. We also show that the finite support of Yoneda natural transformations is a theorem for free.

Keywords

Yoneda Lemmanominal setsFM sets
Type
Paper
Information
Mathematical Structures in Computer Science , Volume 30 , Issue 9 , October 2020 , pp. 1011 - 1024
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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