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Cohesive Sets: Countable and Uncountable

Richard A. Shore
Proceedings of the American Mathematical Society
Vol. 44, No. 2 (Jun., 1974), pp. 442-445
DOI: 10.2307/2040453
Stable URL: http://www.jstor.org/stable/2040453
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Cohesive Sets: Countable and Uncountable
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Abstract

We show that many uncountable admissible ordinals (including some cardinals) as well as all countable admissible ordinals have cohesive subsets. Exactly which cardinals have cohesive subsets, however, is shown to depend on set-theoretic assumptions such as V = L or a large cardinal axiom.

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