α-Properness and Axiom A

@article{TetsuyaIshiu2005,
abstract = {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.},
author = {Tetsuya Ishiu},
journal = {Fundamenta Mathematicae},
keywords = {-properness; club guessing sequence; Axiom A},
language = {eng},
number = {1},
pages = {25-37},
title = {α-Properness and Axiom A},
url = {http://eudml.org/doc/283262},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Tetsuya Ishiu
TI - α-Properness and Axiom A
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 1
SP - 25
EP - 37
AB - 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.
LA - eng
KW - -properness; club guessing sequence; Axiom A
UR - http://eudml.org/doc/283262
ER -