Stable Structures with Few Substructures

&
Journal of Symbolic Logic 61 (2):985-1005 (1996)
  Copy   BIBTEX

Abstract

A countable, atomically stable structure $\mathfrak{U}$ in a finite, relational language has fewer than $2^\omega$ non-isomorphic substructures if and only if $\mathfrak{U}$ is cellular. An example shows that the finiteness of the language is necessary.

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Stable structures with few substructures.Michael C. Laskowski & Laura L. Mayer - 1996 - Journal of Symbolic Logic 61 (3):985-1005.
Ages of Expansions of ω-Categorical Structures.A. Ivanov & K. Majcher - 2007 - Notre Dame Journal of Formal Logic 48 (3):371-380.
Countable structures of given age.H. D. Macpherson, M. Pouzet & R. E. Woodrow - 1992 - Journal of Symbolic Logic 57 (3):992-1010.
Relational structures determined by their finite induced substructures.I. M. Hodkinson & H. D. Macpherson - 1988 - Journal of Symbolic Logic 53 (1):222-230.
A note on stability spectrum of generic structures.Yuki Anbo & Koichiro Ikeda - 2010 - Mathematical Logic Quarterly 56 (3):257-261.
Ab initio generic structures which are superstable but not ω-stable.Koichiro Ikeda - 2012 - Archive for Mathematical Logic 51 (1):203-211.
Review: A. H. Lachlan, On Countable Stable Structures which are Homogeneous for a Finite Relational Language; G. Cherlin, A. H. Lachlan, Stable Finitely Homogeneous Structures. [REVIEW]Dugald Macpherson - 1993 - Journal of Symbolic Logic 58 (1):350-352.
A Spector-Gandy Theorem for $mathrm{cPC}_d(mathbb{A})$ Classes.Shaughan Lavine - 1992 - Journal of Symbolic Logic 57 (2):478-500.
Countable structures, Ehrenfeucht strategies, and wadge reductions.Tom Linton - 1991 - Journal of Symbolic Logic 56 (4):1325-1348.
A geometric zero-one law.Robert H. Gilman, Yuri Gurevich & Alexei Miasnikov - 2009 - Journal of Symbolic Logic 74 (3):929-938.
A. H. Lachlan. On countable stable structures which are homogeneous for a finite relational language. Israel journal of mathematics, vol. 49 , pp. 69–153. - G. Cherlin and A. H. Lachlan. Stable finitely homogeneous structures. Transactions of the American Mathematical Society, vol. 296 , pp. 815–850. [REVIEW]Dugald Macpherson - 1993 - Journal of Symbolic Logic 58 (1):350-352.
Modèles saturés et modèles engendrés par des indiscernables.Benoît Mariou - 2001 - Journal of Symbolic Logic 66 (1):325-348.
Cohen-Stable Families of Subsets of Integers.Milos Kurilic - 2001 - Journal of Symbolic Logic 66 (1):257-270.
On minimal structures.Oleg V. Belegradek - 1998 - Journal of Symbolic Logic 63 (2):421-426.
Small Stable Groups and Generics.Frank O. Wagner - 1991 - Journal of Symbolic Logic 56 (3):1026-1037.

Analytics

Added to PP
2017-02-21

Downloads
4 (#1,556,099)

6 months
4 (#698,851)

Historical graph of downloads

Sorry, there are not enough data points to plot this chart.
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references