The nonabsoluteness of model existence in uncountable cardinals for \(L_{\omega_{1},\omega}\)
type: Item
instance of: scholarly article
title: The nonabsoluteness of model existence in uncountable cardinals for \(L_{\omega_{1},\omega}\)
zbMATH Open document ID: 1285.03045
DOI: 10.1215/00294527-1960443
author: Tapani Hyttinen
author: Martin Koerwien
author: Sy-David Friedman
published in: Notre Dame Journal of Formal Logic
publication date: 2013-04-25T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ndjfl/1361454971
Mathematics Subject Classification ID: 03C75
Mathematics Subject Classification ID: 03C48
Mathematics Subject Classification ID: 03E50
zbMATH DE Number: 6157718
zbMATH Keywords: infinitary logic
zbMATH Keywords: absoluteness
zbMATH Keywords: abstract elementary classes
MaRDI profile type: Publication
OpenAlex ID: W2020226208
cites work: AMALGAMATION, ABSOLUTENESS, AND CATEGORICITY
cites work: The role of the Omitting Types Theorem in infinitary logic
cites work: Model theory.
cites work: Squares, scales and stationary reflection
cites work: On automorphism groups of countable structures
cites work: On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. Part A
cites work: KNIGHT'S MODEL, ITS AUTOMORPHISM GROUP, AND CHARACTERIZING THE UNCOUNTABLE CARDINALS
cites work: The fine structure of the constructible hierarchy
cites work: Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
cites work: Sur un problème de Sikorski
description: scientific article; zbMATH DE number 6157718