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Vaught's conjecture for quite o-minimal theories. / Kulpeshov, B. Sh; Sudoplatov, S. V.

In: Annals of Pure and Applied Logic, Vol. 168, No. 1, 01.01.2017, p. 129-149.

Research output: Contribution to journal › Article › peer-review

Harvard

Kulpeshov, BS & Sudoplatov, SV 2017, 'Vaught's conjecture for quite o-minimal theories', Annals of Pure and Applied Logic, vol. 168, no. 1, pp. 129-149. https://doi.org/10.1016/j.apal.2016.09.002

APA

Kulpeshov, B. S., & Sudoplatov, S. V. (2017). Vaught's conjecture for quite o-minimal theories. Annals of Pure and Applied Logic, 168(1), 129-149. https://doi.org/10.1016/j.apal.2016.09.002

Vancouver

Kulpeshov BS, Sudoplatov SV. Vaught's conjecture for quite o-minimal theories. Annals of Pure and Applied Logic. 2017 Jan 1;168(1):129-149. doi: 10.1016/j.apal.2016.09.002

Author

Kulpeshov, B. Sh ; Sudoplatov, S. V. / Vaught's conjecture for quite o-minimal theories. In: Annals of Pure and Applied Logic. 2017 ; Vol. 168, No. 1. pp. 129-149.

BibTeX

@article{e596d91320b84f4ebe452b5d65c5aa82,
title = "Vaught's conjecture for quite o-minimal theories",
abstract = "We study Vaught's problem for quite o-minimal theories. Quite o-minimal theories form a subclass of the class of weakly o-minimal theories preserving a series of properties of o-minimal theories. We investigate quite o-minimal theories having fewer than 2ω countable models and prove that the Exchange Principle for algebraic closure holds in any model of such a theory and also we prove binarity of these theories. The main result of the paper is that any quite o-minimal theory has either 2ω countable models or 6a3b countable models, where a and b are natural numbers.",
keywords = "Binary theory, Countable model, Quite o-minimal theory, Vaught's conjecture, Weak o-minimality",
author = "Kulpeshov, {B. Sh} and Sudoplatov, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",
year = "2017",
month = jan,
day = "1",
doi = "10.1016/j.apal.2016.09.002",
language = "English",
volume = "168",
pages = "129--149",
journal = "Annals of Pure and Applied Logic",
issn = "0168-0072",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Vaught's conjecture for quite o-minimal theories

AU - Kulpeshov, B. Sh

AU - Sudoplatov, S. V.

N1 - Publisher Copyright: © 2016 Elsevier B.V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We study Vaught's problem for quite o-minimal theories. Quite o-minimal theories form a subclass of the class of weakly o-minimal theories preserving a series of properties of o-minimal theories. We investigate quite o-minimal theories having fewer than 2ω countable models and prove that the Exchange Principle for algebraic closure holds in any model of such a theory and also we prove binarity of these theories. The main result of the paper is that any quite o-minimal theory has either 2ω countable models or 6a3b countable models, where a and b are natural numbers.

AB - We study Vaught's problem for quite o-minimal theories. Quite o-minimal theories form a subclass of the class of weakly o-minimal theories preserving a series of properties of o-minimal theories. We investigate quite o-minimal theories having fewer than 2ω countable models and prove that the Exchange Principle for algebraic closure holds in any model of such a theory and also we prove binarity of these theories. The main result of the paper is that any quite o-minimal theory has either 2ω countable models or 6a3b countable models, where a and b are natural numbers.

KW - Binary theory

KW - Countable model

KW - Quite o-minimal theory

KW - Vaught's conjecture

KW - Weak o-minimality

UR - http://www.scopus.com/inward/record.url?scp=84994784113&partnerID=8YFLogxK

U2 - 10.1016/j.apal.2016.09.002

DO - 10.1016/j.apal.2016.09.002

M3 - Article

AN - SCOPUS:84994784113

VL - 168

SP - 129

EP - 149

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

SN - 0168-0072

IS - 1

ER -

ID: 10321076