Stronger ideals over
Yo Matsubara (2002)
Fundamenta Mathematicae
Similarity:
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 . We also present a consistency result concerning the existence of such ideals over . 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...