α-Properness and Axiom A

• Autorzy: Tetsuya Ishiu
• Języki publikacji: EN

Abstrakty

EN

We show that under ZFC, for every indecomposable ordinal α < ω₁, there exists a poset which is β-proper for every β < α but not α-proper. It is also shown that a poset is forcing equivalent to a poset satisfying Axiom A if and only if it is α-proper for every α < ω₁.

Kategorie tematyczne

• 03E40: Other aspects of forcing and Boolean-valued models
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 186
• Numer: 1
• Strony: 25-37

Daty

wydano

2005

Twórcy

autor

Tetsuya Ishiu

• Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Blvd., Lawrence, KS 66045, U.S.A.

Identyfikatory

DOI

10.4064/fm186-1-2