An elementary proof of the naturality of the Yoneda embedding

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We give a short proof that the Yoneda embedding is natural for ∞-categories, and further prove that the space of natural transformations that
are, pointwise, the Yoneda embedding, is contractible.
OriginalsprogEngelsk
TidsskriftProceedings of the American Mathematical Society
Vol/bind151
Udgave nummer10
Sider (fra-til)4163-4171
ISSN0002-9939
DOI
StatusUdgivet - 2023

Bibliografisk note

Funding Information:
Received by the editors November 29, 2022, and, in revised form, February 16, 2023, and February 21, 2023. 2020 Mathematics Subject Classification. Primary 18N60, 55U40. This research was supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).

Publisher Copyright:
© 2023 American Mathematical Society.

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