MAD families with strong combinatorial properties

• Autorzy: Jörg Brendle , Greg Piper
• Języki publikacji: EN

Abstrakty

EN

In his paper in Fund. Math. 178 (2003), Miller presented two conjectures regarding MAD families. The first is that CH implies the existence of a MAD family that is also a σ-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom
• 03E40: Other aspects of forcing and Boolean-valued models
• 03E05: Other combinatorial set theory
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 193
• Numer: 1
• Strony: 7-21

Daty

wydano

2007

Twórcy

autor

Jörg Brendle

• The Graduate School of Science and Technology, Kobe University, Rokko-dai 1-1, Nada-ku, Kobe 657-8501, Japan

autor

Greg Piper

• The Graduate School of Science and Technology, Kobe University, Rokko-dai 1-1, Nada-ku, Kobe 657-8501, Japan

Identyfikatory

DOI

10.4064/fm193-1-2