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Finitely generated submodels of an uncountably categorical homogeneous structure

✍ Scribed by Tapani Hyttinen

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
320 KB
Volume
50
Category
Article
ISSN
0044-3050

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✦ Synopsis

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‐stable homogeneous classes of finite U‐rank. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

On the Number of Elementary Submodels of
On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure
✍ Tapani Hyttinen; Saharon Shelah 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 267 KB

## 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^.