Abstract
We construct several forcing models in each of which there exists a maximal cofinitary group, i.e., a maximal almost disjoint group, G≤Sym(ℕ), such that G is also a maximal almost disjoint family in Sym(ℕ). We also ask several open questions in this area in the fourth section of this paper.
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Received: 25 December 2000 / Revised version: 10 December 2001 Published online: 5 November 2002
Current address:Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1109. USA.e-mail: yizhang@umich.edu
The author's research on this subject was partially supported by a visiting grant from the Institute Mittag–Leffler, Royal Academy of Science, Sweden and the grant no. 40734 of Academy of Finland.
Mathematics Subject Classification (2000): 03E35, 20A15, 20B07, 20B35
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Zhang, Y. Adjoining cofinitary permutations (II). Arch. Math. Logic 42, 153–163 (2003). https://doi.org/10.1007/s00153-002-0154-y
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DOI: https://doi.org/10.1007/s00153-002-0154-y