Files

506756.pdf (144.31 KB)

Document type

Article

Version

Published version

Publication date

2003

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7625

The free roots of the complete graph

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

There is a model-completion Tn of the theory of a (reflexive) ncoloured graph (X, R1,...,Rn) such that Rn is total, and Ri ◦ Rj ⊆ Ri+j for all i, j. For n > 2, the theory Tn is not simple, and does not have the strict order property. The theories Tn combine to yield a non-simple theory T∞ without the strict order property, which does not eliminate hyperimaginaries.

Subject

Teoria de models

Subject (English)

Model theory, Classification theory

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CASANOVAS RUIZ-FORNELLS, Enrique and WAGNER, Frank O. (Frank Olaf). The free roots of the complete graph. Proceedings of the American Mathematical Society. 2003. Vol. 132, num. 5, pags. 1543-1548. ISSN 1088-6826. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/7625

Export metadata

JSON - METS

Share record