Uniformity of the meager ideal and maximal cofinitary groups

DOI10.1006/jabr.2000.8396zbMath0966.20001OpenAlexW1993228349MaRDI QIDQ1588399

Otmar Spinas, Yi Zhang, Jörg Brendle

Publication date: 14 May 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6bce20d1132ef8a1caa9a4366a88d5499ca7f4a3

zbMATH Keywords

consistencydominating numberinfinite symmetric groupunbounding numberalmost disjoint subsets of \(\omega\)cofinitary groupsmaximal cofinitary subgroupsmeager sets of reals

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (14)

Mad families of vector subspaces and the smallest nonmeager set of reals ⋮ Maximal cofinitary groups revisited ⋮ CONSTRUCTING MAXIMAL COFINITARY GROUPS ⋮ Independent families of functions and permutations ⋮ Halfway new cardinal characteristics ⋮ Cardinal invariants related to permutation groups ⋮ A Sacks indestructible co-analytic maximal eventually different family ⋮ Definable sets of generators in maximal cofinitary groups ⋮ The complexity of maximal cofinitary groups ⋮ There is a Van Douwen MAD family ⋮ Adjoining Almost Disjoint Permutations ⋮ A CO-ANALYTIC COHEN-INDESTRUCTIBLE MAXIMAL COFINITARY GROUP ⋮ Template iterations and maximal cofinitary groups ⋮ Invariance Properties of Almost Disjoint Families

Cites Work

• Maximal cofinitary groups
• Combinatorial Cardinal Characteristics of the Continuum
• Permutation Groups and Covering Properties
• Embeddings of infinite permutation groups in sharp, highly transitive, and homogeneous groups
• The Baire category theorem and the evasion number
• On a class of m.a.d. families
• Cofinitary Permutation Groups
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