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A conjecture of shelah

✍ Scribed by K. Kudaibergenov

Publisher: Springer US
Year: 1987
Tongue: English
Weight: 456 KB
Volume: 26
Category: Article
ISSN: 0002-5232
DOI: 10.1007/bf01978388

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📜 SIMILAR VOLUMES

A question of Jarden and Shelah

✍ Yu. L. Ershov 📂 Article 📅 1989 🏛 Springer US 🌐 English ⚖ 100 KB

A DIRECT PROOF OF A RESULT OF SHELAH

✍ Martin Weese 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB

## Abstract Shelah has shown (see [1]) that the number __d__, the smallest cardinality of a dominating family, is less than or equal to the number __i__, the smallest cardinality of a maximal independent family on ω. This was done using a downward Löwenheim‐Skolem argument. Thus it is interesting t

Witnessing numbers of Shelah Cardinals

✍ Toshio Suzuki 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 280 KB

## Abstract We consider minimal ranks of extenders associated with Shelah cardinals by introducing witnessing numbers. Using these numbers we shall investigate effects of Shelah cardinals above themselves. MSC: 03E55.

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A graph-theoretic generalization of the

A graph-theoretic generalization of the Sauer-Shelah lemma

✍ Nicolò Cesa-Bianchi; David Haussler 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 622 KB

We show a natural graph-theoretic generalization of the Sauer-Shelah lemma. This result is applied to bound the & and L1 packing numbers of classes of functions whose range is an arbitrary, totally bounded metric space.

On the Convexified Sauer–Shelah Theorem

✍ Stanislaw J Szarek; Michel Talagrand 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 940 KB

Let A be a subset of [0, 1] n . Given =>0, we can find a subset I of [1, ..., n] such that the convex hull in R I of the projection of A onto [0, 1] I contains the cube [1Â2&=, 1Â2+=] I , and that card I n&K(n=+-n log(2 n Âcard A)), where K>0 is a universal constant. 1997 Academic Press 1. INTRODUCT