«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2013. Vol. 2

Operators generating Rudin – Keisler preorders in the class of theories with continuum many types

Author(s)
R. A. Popkov, S. V. Sudoplatov
Abstract

We construct an operator on the class of countable complete theories with continuum many types, generating Rudin – Keisler preorders with arbitrary countable restrictions.

Keywords
theory with continuum many types Rudin – Keisler Preorder generating operator
UDC
510.67
References

1. Судоплатов С. В. Проблема Лахлана / С. В. Судоплатов. – Новосибирск : Изд-во НГТУ, 2009. – 336 с.

2. Popkov R. A. Distributions of countable models of complete theories with continuum many types / R. A. Popkov, S. V. Sudoplatov // arXiv:1210.4043v1 [math.LO]. – 2012. – 30 p.

3. Sudoplatov S. V. On Rudin – Keisler preorders in small theories / S. V. Sudoplatov // Algebra and Model Theory 8. Collection of papers / eds.: A. G. Pinus, K. N. Ponomaryov, S. V. Sudoplatov, and E. I. Timoshenko. – Novosibirsk : NSTU, 2011. – P. 94–102.

4. Tanovi´c P. Theories with constants and three countable models / P. Tanovi´c // Archive for Math. Logic. – 2007. – Vol. 46, N 5–6. – P. 517–527.


Full text (russian)