-definability at uncountable regular cardinals

Publisher： Cambridge University Press

E-ISSN： 1943-5886|77|3|1011-1046

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.77, Iss.3, 2012-09, pp. : 1011-1046

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Abstract

Let κ be an infinite cardinal. A subset of ( κ κ) n is a -subset if it is the projection p[T] of all cofinal branches through a subtree T of (>κ κ) n+1 of height κ. We define and -subsets of ( κ κ) n as usual.

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