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Universal uniform Eberlein compact spaces |
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| Authors: | M. Bell |
| Affiliation: | Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2 |
| 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  . If  , then they exist whereas otherwise, in many cases including  , it is consistent that they do not exist. This answers (for many  and consistently for all  ) a question of Benyamini, Rudin and Wage of 1977. |
| Keywords: | Compact space Uniform Eberlein universal boolean algebra graph |
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