Automorphism groups of countable stable structures

Gianluca Paolini; Saharon Shelah

doi:10.4064/fm723-4-2019

Automorphism groups of countable stable structures

Gianluca Paolini, Saharon Shelah

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

For every countable structure M we construct an N₀-stable countable structure N such that Aut(M) and Aut(N) are topologically isomorphic. This shows that it is impossible to detect any form of stability of a countable structure M from the topological properties of the Polish group Aut(M).

Original language	English
Pages (from-to)	301-307
Number of pages	7
Journal	Fundamenta Mathematicae
Volume	248
Issue number	3
DOIs	https://doi.org/10.4064/fm723-4-2019
State	Published - 2020

Bibliographical note

Publisher Copyright:
© 2020 Institute of Mathematics. Polish Academy of Sciences. All rights reserved.

Keywords

Automorphism groups
N-stable structures
Non-Archimedean Polish groups
Reconstruction theory

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10.4064/fm723-4-2019

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title = "Automorphism groups of countable stable structures",

abstract = "For every countable structure M we construct an N0-stable countable structure N such that Aut(M) and Aut(N) are topologically isomorphic. This shows that it is impossible to detect any form of stability of a countable structure M from the topological properties of the Polish group Aut(M).",

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KW - Automorphism groups

KW - N-stable structures

KW - Non-Archimedean Polish groups

KW - Reconstruction theory

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Automorphism groups of countable stable structures

Abstract

Bibliographical note

Keywords

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