The set of idempotents in the weakly almost periodic compactification of the integers is not closed
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- by B. Bordbar and J. Pym PDF
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Abstract:
This paper answers negatively the question of whether the sets of idempotents in the weakly almost periodic compactifications of $(\mathbb {N}, +)$ and $(\mathbb {Z} ,+)$ are closed.References
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Additional Information
- B. Bordbar
- Affiliation: Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, England
- Email: j.pym@sheffield.ac.uk
- J. Pym
- Affiliation: Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, England
- Received by editor(s): June 16, 1997
- Published electronically: July 20, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 823-842
- MSC (1991): Primary 43A60, 22A15; Secondary 22D05
- DOI: https://doi.org/10.1090/S0002-9947-99-02273-4
- MathSciNet review: 1491855