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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Random gaps under CH


Author: James Hirschorn
Journal: Trans. Amer. Math. Soc. 356 (2004), 1281-1290
MSC (2000): Primary 03E05; Secondary 03E40, 03E50, 28E15
Published electronically: November 25, 2003
MathSciNet review: 2034309
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Abstract: It is proved that if the Continuum Hypothesis is true, then one random real always produces a destructible $(\omega_1,\omega_1)$ gap.


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Additional Information

James Hirschorn
Affiliation: Department of Mathematics, University of Helsinki, Helsinki, Finland
Address at time of publication: Centre de Recerca Matemàtica, Apartat 50, E-08193 Bellaterra, Spain
Email: jhirschorn@crm.es, James.Hirschorn@logic.univie.ac.at

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03380-4
PII: S 0002-9947(03)03380-4
Keywords: Gap, destructible gap, random real, Continuum Hypothesis
Received by editor(s): October 1, 2001
Published electronically: November 25, 2003
Article copyright: © Copyright 2003 American Mathematical Society