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Non-isomorphic projective sets

Published online by Cambridge University Press:  26 February 2010

R. Daniel Mauldin
R. Daniel Mauldin
Affiliation:
University of Florida, Gainesville, Florida 32611
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It is well known that two Borel subsets of the unit interval are Borel isomorphic, if, and only if, they have the same cardinality. The problem of the existence of analytic, non-Borelian subsets of the unit interval, which are not Borel isomorphic, has not been resolved within ZFC. With the additional assumption of the existence of an uncountable coanalytic set which does not contain a perfect set, it has been shown that there are at least three Borel isomorphism classes of analytic non-Borelian sets [4, 5].

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Type
Research Article
Information
Mathematika , Volume 23 , Issue 2 , December 1976 , pp. 151 - 155
Copyright
Copyright © University College London 1976

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References

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