Universal Uniform Eberlein Compact Spaces
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چکیده
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 κ. If κ = 2<κ, then they exist whereas otherwise, in many cases including κ = ω1, it is consistent that they do not exist. This answers (for many κ and consistently for all κ) a question of Benyamini, Rudin and Wage of 1977.
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تاریخ انتشار 2000