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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

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

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