Adjoining cofinitary permutations

Zhang Y.

JOURNAL OF SYMBOLIC LOGIC, cilt.64, sa.4, ss.1803-1810, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 4
  • Basım Tarihi: 1999
  • Doi Numarası: 10.2307/2586812
  • Dergi Adı: JOURNAL OF SYMBOLIC LOGIC
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1803-1810
  • İstanbul Üniversitesi Adresli: Hayır

Özet

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.