Perfect set theorems

• Autorzy: Otmar Spinas
• Języki publikacji: EN

Abstrakty

EN

We study splitting, infinitely often equal (ioe) and refining families from the descriptive point of view, i.e. we try to characterize closed, Borel or analytic such families by proving perfect set theorems. We succeed for $G_{δ}$ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.

Kategorie tematyczne

• 03E17: Cardinal characteristics of the continuum
• 03E05: Other combinatorial set theory
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 201
• Numer: 2
• Strony: 179-195

Daty

wydano

2008

Twórcy

autor

Otmar Spinas

• Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, 24098 Kiel, Germany

Identyfikatory

DOI

10.4064/fm201-2-6