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Analytic sets under attack

Published online by Cambridge University Press:  26 April 2005

A. R. D. MATHIAS
A. R. D. MATHIAS
Affiliation:
ERMIT, Université de la Réunion, 15, Avenue René Cassin – BP 7151 F 97715 St Denis de la Réunion, Messagerie 9, France. e-mail: ardm@univ-reunion.fr
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Abstract

A point in Baire space is found for which the first derived $\omega$-limit set is not Borel, whilst the second is empty. A second point is found for which the sequence of derived $\omega$-limit sets does not stabilise until the first uncountable ordinal. The two points are recursive.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 3 , May 2005 , pp. 465 - 485
Copyright
2005 Cambridge Philosophical Society

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