Universal uniform Eberlein compact spaces
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- by M. Bell PDF
- Proc. Amer. Math. Soc. 128 (2000), 2191-2197 Request permission
Abstract:
A universal space is one that continuously maps onto all others of its own kind and weight. We investigate when a universal Uniform Eberlein compact space exists for weight $\kappa$. If $\kappa = 2^{<\kappa }$, then they exist whereas otherwise, in many cases including $\kappa = \omega _1$, it is consistent that they do not exist. This answers (for many $\kappa$ and consistently for all $\kappa$) a question of Benyamini, Rudin and Wage of 1977.References
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Additional Information
- M. Bell
- Affiliation: Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
- Email: mbell@cc.umanitoba.ca
- Received by editor(s): May 5, 1998
- Received by editor(s) in revised form: September 6, 1998
- Published electronically: February 25, 2000
- Additional Notes: The author would like to thank NSERC of Canada for support for this research.
- Communicated by: Alan Dow
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2191-2197
- MSC (1991): Primary 54D30, 54A25; Secondary 54C20, 54H10
- DOI: https://doi.org/10.1090/S0002-9939-00-05403-4
- MathSciNet review: 1676311