Adjoining cofinitary permutations

Journal of Symbolic Logic 64 (4):1803-1810 (1999)
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Abstract

We 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 $\subseteq$ Sym(ω) and |G| < |A|. We also ask several questions in this area

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10.2307/2586812

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Yi Zhang
Humboldt-University, Berlin

Citations of this work

The spectrum of independence, II.Vera Fischer & Saharon Shelah - 2022 - Annals of Pure and Applied Logic 173 (9):103161.
Cardinal invariants related to permutation groups.Bart Kastermans & Yi Zhang - 2006 - Annals of Pure and Applied Logic 143 (1-3):139-146.

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References found in this work

Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
Continuous triangular norm based fuzzy topology.Dexue Zhang & Gao Zhang - 2019 - Archive for Mathematical Logic 58 (7-8):915-942.

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