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Some remarks on symmetry for a monoidal category

Published online by Cambridge University Press:  17 April 2009

Stefano Kasangian  and
Fabio Rossi
Stefano Kasangian
Affiliation:
Istituto Matematico dell'Università, via C. Saldini, 50, 20133 Milano, Italy
Fabio Rossi
Affiliation:
Istituto Matematico dell'Università, Piazzale Europa, I, 34100 Trieste, Italy.
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Abstract

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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.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 209 - 214
Copyright
Copyright © Australian Mathematical Society 1981

References

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