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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2040453
Page Count: 4
You can always find the topics here!Topics: Mathematical theorems, Recursion theory, Large cardinal properties, Cofinality, Logical theorems, Mathematics
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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.
Proceedings of the American Mathematical Society © 1974 American Mathematical Society