Adjoining cofinitary permutations
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AbstractWe show that it is consistent with ZFC + ¬CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G ≤ Sym(ω) such that G is a proper subset of an almost disjoint family A ⊆ Sym(ω) and ‖G‖ < ‖A‖. We also ask several questions in this area.
2012 ◽
Vol 64
(6)
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pp. 1378-1394
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2014 ◽
Vol 57
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pp. 119-124
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1985 ◽
Vol 38
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pp. 198-206
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1985 ◽
Vol 37
(4)
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pp. 730-746
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1977 ◽
Vol 81
(3)
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pp. 523-523
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1987 ◽
Vol 101
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pp. 385-393
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1983 ◽
Vol 93
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pp. 1-7
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