Whales and the universal completion
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- by Gerard Buskes and Arnoud van Rooij PDF
- Proc. Amer. Math. Soc. 124 (1996), 423-427 Request permission
Abstract:
In this paper we introduce whales in the collection of subsets of the Boolean algebra of bands in a Dedekind complete Riesz space and employ them to give a short (and constructive) proof of the existence of universal completions for Archimedean Riesz spaces.References
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Additional Information
- Gerard Buskes
- Affiliation: Department of Mathematics, University of Mississippi, University, Mississippi 38677
- Arnoud van Rooij
- Affiliation: Mathematical Institute, The University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands
- Received by editor(s): January 10, 1994
- Received by editor(s) in revised form: April 4, 1994
- Additional Notes: Both authors acknowledge partial support from NATO grant 940605.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 423-427
- MSC (1991): Primary 46A40
- DOI: https://doi.org/10.1090/S0002-9939-96-02839-0
- MathSciNet review: 1273479
Dedicated: Dedicated to the memory of Bill Causey