Journal of Symbolic Logic

Blowing up the power set of the least measurable

Arthur W. Apter and James Cummings

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We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of "Forcing the least measurable to violate GCH" by using the optimal hypothesis.

Article information

J. Symbolic Logic, Volume 67, Issue 3 (2002), 915-923.

First available in Project Euclid: 18 September 2007

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E35: Consistency and independence results
Secondary: 03E05: Other combinatorial set theory 03E55: Large cardinals


Apter, Arthur W.; Cummings, James. Blowing up the power set of the least measurable. J. Symbolic Logic 67 (2002), no. 3, 915--923. doi:10.2178/jsl/1190150139.

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