On the Cardinality of $$ \sum_2^1 $$ Sets of Reals

Robert M. Solovay

A chapter in Foundations of Mathematics, 1969, pp 58-73 from Springer

Abstract: Abstract What are the possible cardinalities of subsets of the reals? R itself has power 2א0; it is trivial to exhibit subsets of the integers of any power ≦א0. The Continuum Hypothesis of Cantor conjectures that these examples exhaust the possible cardinalities of subsets of R .

Keywords: Continuum Hypothesis; Continue Fraction Expansion; Measurable Cardinal; Order Isomorphism; Supercompact Cardinal (search for similar items in EconPapers)
Date: 1969
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DOI: 10.1007/978-3-642-86745-3_7

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