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Uniformity of the Meager Ideal and Maximal Cofinitary Groups

✍ Scribed by Jörg Brendle; Otmar Spinas; Yi Zhang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
142 KB
Volume
232
Category
Article
ISSN
0021-8693

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✦ Synopsis

We prove that every maximal cofinitary group has size at least the cardinality of the smallest non-meager set of reals. We also provide a consistency result saying that the spectrum of possible cardinalities of maximal cofinitary groups may be quite arbitrary.

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