Stronger ideals over $𝓟_{κ}λ $

• Autorzy: Yo Matsubara
• Języki publikacji: EN

Abstrakty

EN

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 $𝓟_{κ}λ$. We also present a consistency result concerning the existence of such ideals over $𝓟_{κ}λ$. 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.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 3
• Strony: 229-238

Daty

wydano

2002

Twórcy

autor

Yo Matsubara

• Nagoya University, Chikusa-ku, Nagoya, 464-8601, Japan

Identyfikatory

DOI

10.4064/fm174-3-3