Counterexamples to the unique and cofinal branches hypotheses
Itay Neeman and John Steel
Source: J. Symbolic Logic
Volume 71, Issue 3
(2006), 977-988.
Abstract
We produce counterexamples to the unique and cofinal branches
hypotheses, assuming (slightly less than) the existence of a
cardinal which is strong past a Woodin cardinal.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1154698586
Digital Object Identifier: doi:10.2178/jsl/1154698586
Mathematical Reviews number (MathSciNet):
MR2251550
Zentralblatt MATH identifier:
1109.03065
References
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Donald A. Martin and John R. Steel, A proof of projective determinacy, Journal of the American Mathematical Society, vol. 2 (1989), no. 1, pp. 71--125.
Mathematical Reviews (MathSciNet):
MR955605
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-------- The determinacy of long games, de Gruyter Series in Logic and its Applications, vol. 7, Walter de Gruyter GmbH & Co., KG, Berlin, 2004.,
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--------, Local $K^c$-constructions,to appear.