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Linearly ordered theories which are nearly countably categorical. / Kulpeshov, B. Sh; Sudoplatov, S. V.

In: Mathematical Notes, Vol. 101, No. 3-4, 01.03.2017, p. 475-483.

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

Harvard

Kulpeshov, BS & Sudoplatov, SV 2017, 'Linearly ordered theories which are nearly countably categorical', Mathematical Notes, vol. 101, no. 3-4, pp. 475-483. https://doi.org/10.1134/S0001434617030099

APA

Kulpeshov, B. S., & Sudoplatov, S. V. (2017). Linearly ordered theories which are nearly countably categorical. Mathematical Notes, 101(3-4), 475-483. https://doi.org/10.1134/S0001434617030099

Vancouver

Kulpeshov BS, Sudoplatov SV. Linearly ordered theories which are nearly countably categorical. Mathematical Notes. 2017 Mar 1;101(3-4):475-483. doi: 10.1134/S0001434617030099

Author

Kulpeshov, B. Sh ; Sudoplatov, S. V. / Linearly ordered theories which are nearly countably categorical. In: Mathematical Notes. 2017 ; Vol. 101, No. 3-4. pp. 475-483.

BibTeX

@article{34271ef1ef834f43b5d2fd272bf32fd1,
title = "Linearly ordered theories which are nearly countably categorical",
abstract = "The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.",
keywords = "1-local ω-categoricity, almost ω-categoricity, binary theory, convexity rank, Ehrenfeucht theory, linear order, quite o-minimality, weak o-minimality, 1-local omega-categoricity, O-MINIMAL STRUCTURES, almost omega-categoricity",
author = "Kulpeshov, {B. Sh} and Sudoplatov, {S. V.}",
year = "2017",
month = mar,
day = "1",
doi = "10.1134/S0001434617030099",
language = "English",
volume = "101",
pages = "475--483",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "PLEIADES PUBLISHING INC",
number = "3-4",

}

RIS

TY - JOUR

T1 - Linearly ordered theories which are nearly countably categorical

AU - Kulpeshov, B. Sh

AU - Sudoplatov, S. V.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.

AB - The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.

KW - 1-local ω-categoricity

KW - almost ω-categoricity

KW - binary theory

KW - convexity rank

KW - Ehrenfeucht theory

KW - linear order

KW - quite o-minimality

KW - weak o-minimality

KW - 1-local omega-categoricity

KW - O-MINIMAL STRUCTURES

KW - almost omega-categoricity

UR - http://www.scopus.com/inward/record.url?scp=85018833577&partnerID=8YFLogxK

U2 - 10.1134/S0001434617030099

DO - 10.1134/S0001434617030099

M3 - Article

AN - SCOPUS:85018833577

VL - 101

SP - 475

EP - 483

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 3-4

ER -

ID: 10064846