A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories

A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories

We illustrate a minor error in the biadjointness result for 2-categories of traced monoidal categories and tortile monoidal categories stated by Joyal, Street and Verity. We also show that the biadjointness holds after suitably changing the definition of 2-cells.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2010-01, Vol.148 (1), p.107-109
Hauptverfasser: HASEGAWA, MASAHITO, KATSUMATA, SHIN-YA
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical analysis
Mathematical functions
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Zusammenfassung:We illustrate a minor error in the biadjointness result for 2-categories of traced monoidal categories and tortile monoidal categories stated by Joyal, Street and Verity. We also show that the biadjointness holds after suitably changing the definition of 2-cells.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004109002606