Categoricity for abstract classes with amalgamation

Saharon Shelah

doi:10.1016/S0168-0072(98)00016-5

Categoricity for abstract classes with amalgamation

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

67 Scopus citations

Abstract

Let elf be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS(elf). We prove that for a suitable Hanf number χ₀ if χ₀ < λ₀ ≤ λ₁ and elf is categorical in λ⁺₁ then it is categorical in λ₀.

Original language	English
Pages (from-to)	261-294
Number of pages	34
Journal	Annals of Pure and Applied Logic
Volume	98
Issue number	1-3
DOIs	https://doi.org/10.1016/S0168-0072(98)00016-5
State	Published - 30 Jun 1999

Keywords

Abstract elementary classes
Categoricity
Classifying non-first order classes
Hanf numbers

Access to Document

10.1016/S0168-0072(98)00016-5

Cite this

@article{fa310273d50d45a993f4fe26d4be458c,

title = "Categoricity for abstract classes with amalgamation",

abstract = "Let elf be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS(elf). We prove that for a suitable Hanf number χ0 if χ0 < λ0 ≤ λ1 and elf is categorical in λ+1 then it is categorical in λ0.",

keywords = "Abstract elementary classes, Categoricity, Classifying non-first order classes, Hanf numbers",

author = "Saharon Shelah",

year = "1999",

month = jun,

day = "30",

doi = "10.1016/S0168-0072(98)00016-5",

language = "אנגלית",

volume = "98",

pages = "261--294",

journal = "Annals of Pure and Applied Logic",

issn = "0168-0072",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - Categoricity for abstract classes with amalgamation

AU - Shelah, Saharon

PY - 1999/6/30

Y1 - 1999/6/30

N2 - Let elf be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS(elf). We prove that for a suitable Hanf number χ0 if χ0 < λ0 ≤ λ1 and elf is categorical in λ+1 then it is categorical in λ0.

AB - Let elf be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS(elf). We prove that for a suitable Hanf number χ0 if χ0 < λ0 ≤ λ1 and elf is categorical in λ+1 then it is categorical in λ0.

KW - Abstract elementary classes

KW - Categoricity

KW - Classifying non-first order classes

KW - Hanf numbers

UR - http://www.scopus.com/inward/record.url?scp=0033617886&partnerID=8YFLogxK

U2 - 10.1016/S0168-0072(98)00016-5

DO - 10.1016/S0168-0072(98)00016-5

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0033617886

SN - 0168-0072

VL - 98

SP - 261

EP - 294

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 1-3

ER -

Categoricity for abstract classes with amalgamation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this