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Note on monoidal localisation

Published online by Cambridge University Press:  17 April 2009

Brian Day
Brian Day
Affiliation:
University of Chicago, Chicago, Illinois, USA.
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Abstract

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If a class Z of morphisms in a monoidal category A is closed under tensoring with the objects of A then the category obtained by inverting the morphisms in Z is monoidal. We note the immediate properties of this induced structure. The main application describes monoidal completions in terms of the ordinary category completions introduced by Applegate and Tierney. This application in turn suggests a “change-of-universe” procedure for category theory based on a given monoidal closed category. Several features of this procedure are discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1973 , pp. 1 - 16
Copyright
Copyright © Australian Mathematical Society 1973

References

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