$\alpha $-Properness and Axiom A

Tom 186 / 2005

Tetsuya Ishiu Fundamenta Mathematicae 186(2005), 25-37 MSC: Primary 03E40; Secondary 03E35. DOI: 10.4064/fm186-1-2

Streszczenie

We show that under ZFC, for every indecomposable ordinal $\alpha<\omega_1$, there exists a poset which is $\beta$-proper for every $\beta<\alpha$ but not $\alpha$-proper. It is also shown that a poset is forcing equivalent to a poset satisfying Axiom A if and only if it is $\alpha$-proper for every $\alpha<\omega_1$.

Autorzy

  • Tetsuya IshiuDepartment of Mathematics
    University of Kansas
    405 Snow Hall, 1460 Jayhawk Blvd.
    Lawrence, KS 66045, U.S.A.
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek