Inexhaustible homogeneous structures

✍ Scribed by K. Böröczky; N. Sauer; X. Zhu

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 466 KB
• Volume: 115
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(93)90478-c

✦ Synopsis

We discuss the notions of inexhaustible, weakly inexhaustible, age-inexhaustible and closureinexhaustible for countable homogeneous structures.

Then we characterize these properties of homogeneous structures in various ways. We also exhibit several examples which show that the assumption of finite language is necessary for some of the results. FraissC [3] and condition IV by Jonsson [4].