## 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 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
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
## 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