A combinatorial problem; stability and order for models and theories in infinitary languages

Saharon Shelah

Type: Article

Publication Date: 1972-04-01

Citations: 499

DOI: https://doi.org/10.2140/pjm.1972.41.247

View Publication

Download PDF

Abstract

DEFINITION 1.3.P3(λ, μ, a) holds if |S|

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Low cardinality models for a type of infinitary theory	1973	Daniel Gogol
+ PDF Chat	A tree argument in infinitary model theory	1977	Victor Harnik Michael Makkai
+	A property of countable stable theories	1981	M. M. Erimbetov
+ PDF Chat	Some Observations on Infinitary Complexity	2018	Merlin Carl
+	A two cardinal theorem for sets of formulas in a stable theory	1975	Victor Harnik
+	Vaught and Morley Conjectures for ω-Stable Countable Theories	1988	John T. Baldwin
+	Infinitary formulas	2000
+	Theories with a two-cardinal formula	1980	T. G. Mustafin
+	Games and Trees in Infinitary Logic: A Survey	1995	Jouko Väänánen
+	Vaught’s Conjecture for Theories of Discretely Ordered Structures	2024	Predrag Tanović
+	Theories with constants and three countable models	2007	Predrag Tanović
+	A Study of Axiomatizability And Decidability of the Mathematical Structures	2022	Zahra Sheikhaleslami
+ PDF Chat	Decidability, Introduction Rules and Automata	2015	Gilles Dowek Ying Jiang
+	Chapter XVIII: Vaught and Morley Conjectures for $\omega$-Stable Countable Theories	1988	John T. Baldwin
+	Decidability and the number of countable models	1984	Terrence Millar
+	Infinitary Methods in Finite Model Theory	2015	Steven Lindell Henry Towsner Scott Weinstein
+ PDF Chat	Infinitary combinatorics and the axiom of determinateness	1977	E. M. Kleinberg
+	Infinitary combinatorics and the axiom of determinateness	1978	Gian‐Carlo Rota
+ PDF Chat	Ordering regular languages and automata: Complexity	2023	Giovanna D’Agostino Davide Martincigh Alberto Policriti
+	A proof of vaught’s conjecture forω-stable theories	1984	Saharon Shelah Louise Harrington Michael Makkai

Works That Cite This (363)

Action	Title	Year	Authors
+ PDF Chat	Infinitary stability theory	2016	Sebastien Vasey
+ PDF Chat	Structured Codes of Graphs	2023	Noga Alon Anna Gujgiczer János Körner Aleksa Milojević Gábor Simonyi
+	Divide and Conquer: Dividing Lines and Universality	2021	Saharon Shelah
+ PDF Chat	On Minimum Saturated Matrices	2012	Andrzej Dudek Oleg Pikhurko Andrew Thomason
+	Traces of hypergraphs	2019	Noga Alon Guy Moshkovitz Noam Solomon
+	Vapnik-Chervonenkis density in some theories without the independence property, I	2015	Matthias Aschenbrenner Alf Dolich Deirdre Haskell Dugald Macpherson Sergei Starchenko
+	VC-Dimensions of Short Presburger Formulas	2019	Danny Nguyen Igor Pak
+	On Hanf numbers of the infinitary order property	1998	Rami Grossberg Saharon Shelah
+	Fractional Vector Calculus and Fractional Special Function	2010	Ming-Fan Li Ji-Rong Ren Tao Zhu
+	Guarding galleries where every point sees a large area	1997	Gil Kalai Jiřı́ Matoušek

Works Cited by This (31)

Action	Title	Year	Authors
+	Formulas with linearly ordered quantifiers	1968	H. Jerome Keisler
+ PDF Chat	Concerning Banach spaces whose duals are abstract<i>L</i>-spaces	1972	J.Bee Bednar H. Elton Lacey
+ PDF Chat	Some remarks on set theory. III.	1953	P. Erdős
+ PDF Chat	Homology of a group extension	1972	Yasutoshi Nomura
+	On the density of families of sets	1972	N. Sauer
+ PDF Chat	A characterization of a class of uniform spaces that admit an invariant integral	1972	Gerald Itzkowitz
+ PDF Chat	A class of operators on Hilbert space	1972	Glenn R. Luecke
+ PDF Chat	On a question of Tarski and a maximal theorem of Kurepa	1972	J. D. Halpern
+ PDF Chat	Inverse semigroups of partial transformations and<i>𝜃</i>-classes	1972	Norman R. Reilly
+ PDF Chat	On the asymptotic behavior of solutions of<i>x</i>′′+<i>a</i>(<i>t</i>)<i>f</i>(<i>x</i>) =<i>e</i>(<i>t</i>)	1972	Theodore Burton Ronald Grimmer