Adjoining cofinitary permutations

Zhang Y.

JOURNAL OF SYMBOLIC LOGIC, vol.64, no.4, pp.1803-1810, 1999 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 4
  • Publication Date: 1999
  • Doi Number: 10.2307/2586812
  • Journal Name: JOURNAL OF SYMBOLIC LOGIC
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1803-1810
  • Istanbul University Affiliated: No

Abstract

We show that it is consistent with ZFC + -CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G less than or equal to Sym(omega) such that G is a proper subset of an almost disjoint Family A subset of or equal to sym(omega) and \ G \ < \ A \. We also ask several questions in this area.