Real Analysis Exchange
نویسنده
چکیده
For f : [0, 1] → R, consider the relation Ef on [0, 1] defined by (xn)Ef (yn)⇔ P n<ω f(|yn−xn|) <∞. We study the Borel reducibility of Borel equivalence relations of the form Ef . Our results indicate that for every 1 ≤ p < q < ∞, the order ≤B of Borel reducibility on the set of equivalence relations {E : EIdp ≤B E ≤B EIdq} is more complicated than expected, e.g. consistently every linear order of cardinality continuum embeds into it.
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تاریخ انتشار 2009