Stronger ideals over ${}_{\kappa }\lambda$

Yo Matsubara. "Stronger ideals over $_{κ}λ $." Fundamenta Mathematicae 174.3 (2002): 229-238. <http://eudml.org/doc/286507>.

@article{YoMatsubara2002,
abstract = {In §1 we define some properties of ideals by using games. These properties strengthen precipitousness. We call these stronger ideals. In §2 we show some limitations on the existence of such ideals over $_\{κ\}λ$. We also present a consistency result concerning the existence of such ideals over $_\{κ\}λ$. In §3 we show that such ideals satisfy stronger normality. We show a cardinal arithmetical consequence of the existence of strongly normal ideals. In § 4 we study some “large cardinal-like” consequences of stronger ideals.},
author = {Yo Matsubara},
journal = {Fundamenta Mathematicae},
keywords = {distributive ideals on ; -strategically closed normal ideal; forcing; Levy collapsing; Rado's conjecture},
language = {eng},
number = {3},
pages = {229-238},
title = {Stronger ideals over $_\{κ\}λ $},
url = {http://eudml.org/doc/286507},
volume = {174},
year = {2002},
}

TY - JOUR
AU - Yo Matsubara
TI - Stronger ideals over $_{κ}λ $
JO - Fundamenta Mathematicae
PY - 2002
VL - 174
IS - 3
SP - 229
EP - 238
AB - In §1 we define some properties of ideals by using games. These properties strengthen precipitousness. We call these stronger ideals. In §2 we show some limitations on the existence of such ideals over $_{κ}λ$. We also present a consistency result concerning the existence of such ideals over $_{κ}λ$. In §3 we show that such ideals satisfy stronger normality. We show a cardinal arithmetical consequence of the existence of strongly normal ideals. In § 4 we study some “large cardinal-like” consequences of stronger ideals.
LA - eng
KW - distributive ideals on ; -strategically closed normal ideal; forcing; Levy collapsing; Rado's conjecture
UR - http://eudml.org/doc/286507
ER -