00-12   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Jörg Brendle, Otmar Spinas, Yi Zhang:

Uniformity of the meager ideal and maximal cofinitary groups

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.

Mathematics Subject Classification (1991): 03E05, 03E35, 20B35

Bibliographical note: Journal of Algebra 232 (2000), 209-225

Keywords: Cofinitary permutation group, cardinal invariants, uniformity of the meager ideal, cardinal spectrum


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[Thu Feb 19 18:56:35 2009]
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