Hostname: page-component-7f64f4797f-l842n Total loading time: 0 Render date: 2025-11-07T09:18:46.455Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE NUMBER OF COUNTABLE MODELS OF A COUNTABLE SUPERSIMPLE THEORY

Published online by Cambridge University Press:  01 December 1999

BYUNGHAN KIM
BYUNGHAN KIM
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Room 236, Building 2, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
Get access

Abstract

It is proved that the number of countable models of a countable supersimple theory is either 1 or infinite. This result is an extension of Lachlan‘s theorem on a superstable theory.

Information

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 641 - 645
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable