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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An adjoint characterization of the category of sets
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by Robert Rosebrugh and R. J. Wood PDF
Proc. Amer. Math. Soc. 122 (1994), 409-413 Request permission

Abstract:

If a category B with Yoneda embedding $Y:{\mathbf {B}} \to {\mathbf {CAT}}({{\mathbf {B}}^{{\text {op}}}},{\mathbf {set}})$ has an adjoint string, $U \dashv V \dashv W \dashv X \dashv Y$, then B is equivalent to set.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 409-413
  • MSC: Primary 18A40; Secondary 18B05
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1216823-2
  • MathSciNet review: 1216823