Stronger ideals over κλ
Yo Matsubara
Fundamenta Mathematicae, Tome 173 (2002), p. 229-238 / Harvested from The Polish Digital Mathematics Library
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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 κλ. We also present a consistency result concerning the existence of such ideals over κλ. 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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:286507 
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     title = {Stronger ideals over $\_{$\kappa$}$\lambda$ $
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     journal = {Fundamenta Mathematicae},
     volume = {173},
     year = {2002},
     pages = {229-238},
     zbl = {1022.03027},
     language = {en},
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Yo Matsubara. Stronger ideals over $_{κ}λ $
            . Fundamenta Mathematicae, Tome 173 (2002) pp. 229-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm174-3-3/