Note on monoidal localisation
- 1 February 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 8 (1) , 1-16
- https://doi.org/10.1017/s0004972700045433
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- On closed categories of functorsPublished by Springer Nature ,1970