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ON CATEGORICITY IN SUCCESSIVE CARDINALS (Q5082055)

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scientific article; zbMATH DE number 7541913

Language	Label	Description	Also known as
English	ON CATEGORICITY IN SUCCESSIVE CARDINALS	scientific article; zbMATH DE number 7541913

Statements

scholarly article

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ON CATEGORICITY IN SUCCESSIVE CARDINALS (English)

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Sebastien Vasey

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publication date

15 June 2022

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full work available at URL

https://arxiv.org/abs/1810.10061

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zbMATH Keywords

abstract elementary classes

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categoricity

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amalgamation

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no maximal models

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good frames

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MaRDI profile type

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Categoricity in multiuniversal classes

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Categoricity, amalgamation, and tameness

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Superstability from categoricity in abstract elementary classes

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Tameness and extending frames

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Examples of non-locality

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A survey on tame abstract elementary classes

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TAMENESS AND FRAMES REVISITED

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Structural logic and abstract elementary classes with intersections

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A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)

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CATEGORICITY FROM ONE SUCCESSOR CARDINAL IN TAME ABSTRACT ELEMENTARY CLASSES

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GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES

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Shelah's categoricity conjecture from a successor for tame abstract elementary classes

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Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\)

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UNIVERSAL CLASSES NEAR ${\aleph _1}$

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Accessible categories, saturation and categoricity

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Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)

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Categoricity for abstract classes with amalgamation

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Categoricity of an abstract elementary class in two successive cardinals

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Classification theory for abstract elementary classes. Vol 2.

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Toward categoricity for classes with no maximal models

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Categoricity in abstract elementary classes with no maximal models

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Forking and superstability in tame AECs

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Infinitary stability theory

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Saturation and solvability in abstract elementary classes with amalgamation

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Shelah's eventual categoricity conjecture in universal classes. I.

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Shelah's eventual categoricity conjecture in universal classes. II

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Toward a stability theory of tame abstract elementary classes

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The categoricity spectrum of large abstract elementary classes

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Tameness from two successive good frames

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Journal of Symbolic Logic

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1017/JSL.2020.25

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Sitelinks

Mathematics(1 entry)

mardi Publication:5082055

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