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Note on monoidal localisation
| Content Provider | Scilit |
|---|---|
| Author | Day, Brian |
| Copyright Year | 1973 |
| Description | 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/73964913A22C5A4831F5369BEDB96EB8/S0004972700045433a.pdf/div-class-title-note-on-monoidal-localisation-div.pdf |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700045433 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 8 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1973-02-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society History and Philosophy of Science Closed Category Monoidal Category A Is Closed |
| Content Type | Text |
| Subject | Mathematics |
