Geodesic
Stronger ideals over ${\cal P}_{\kappa }\lambda $
Yo Matsubara1
1 Nagoya University Chikusa-ku, Nagoya, 464-8601, Japan
Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 229-238.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 ${\cal P}_{\kappa}\lambda$. We also present a consistency result concerning the existence of such ideals over ${\cal P}_{\kappa}\lambda$. 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.
DOI : 10.4064/fm174-3-3
Keywords: sect define properties ideals using games these properties strengthen precipitousness call these stronger ideals sect limitations existence ideals cal kappa lambda present consistency result concerning existence ideals cal kappa lambda sect ideals satisfy stronger normality cardinal arithmetical consequence existence strongly normal ideals sect study large cardinal like consequences stronger ideals

Yo Matsubara 1

1 Nagoya University Chikusa-ku, Nagoya, 464-8601, Japan 
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Yo Matsubara. Stronger ideals over ${\cal P}_{\kappa }\lambda $. Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 229-238. doi : 10.4064/fm174-3-3. http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-3/

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