𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure

✍ Scribed by Tapani Hyttinen; Saharon Shelah


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
267 KB
Volume
44
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We show that if M is a stable unsuperstable homogeneous structure, then for most κ ⩽ |M|, the number of elementary submodels of M of power κ is 2^κ^.


📜 SIMILAR VOLUMES


Finitely generated submodels of an uncou
✍ Tapani Hyttinen 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 320 KB

## Abstract We generalize the result of non‐finite axiomatizability of totally categorical first‐order theories from elementary model theory to homogeneous model theory. In particular, we lift the theory of envelopes to homogeneous model theory and develope theory of imaginaries in the case of __ω_

On the number of colorings of a snark mi
✍ Richard C. Bradley 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 93 KB

For a given snark G and a given edge e of G, let (G; e) denote the nonnegative integer such that for a cubic graph conformal to G À feg, the number of Tait colorings with three given colors is 18 Á (G; e). If two snarks G 1 and G 2 are combined in certain well-known simple ways to form a snark G, th

An improved upper bound on the crossing
✍ Luerbio Faria; Celina Miraglia Herrera de Figueiredo; Ondrej Sýkora; Imrich Vrt' 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 288 KB

## Abstract We draw the __n__‐dimensional hypercube in the plane with ${5\over 32}4^{n}-\lfloor{{{{n}^{2}+1}\over 2}}\rfloor {2}^{n-2}$ crossings, which improves the previous best estimation and coincides with the long conjectured upper bound of Erdös and Guy. © 2008 Wiley Periodicals, Inc. J Graph