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Reflection principles, GCH and the uniformization properties

Published 31 Jan 2020 in math.LO | (2001.12005v2)

Abstract: Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing principles. We discuss the tension and the compatibility between reflection principles and uniformization properties at the level of the second uncountable cardinal.

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