Some remarks on symmetry for a monoidal category
It is shown that, for a monoidal category V, not every commutation is a symmetry and also that a commutation does not suffice to define the tensor product A ⊗ B of V-categorles A and B. Moreover, it is shown that every symmetry can be transported along a monoidal equivalence.
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 1981-04, Vol.23 (2), p.209-214 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is shown that, for a monoidal category V, not every commutation is a symmetry and also that a commutation does not suffice to define the tensor product A ⊗ B of V-categorles A and B. Moreover, it is shown that every symmetry can be transported along a monoidal equivalence. |
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| ISSN: | 0004-9727 1755-1633 |
| DOI: | 10.1017/S0004972700007061 |