Some results on polish groups

Gianluca Paolini; Saharon Shelah

doi:10.4467/20842589RM.20.002.12435

Some results on polish groups

Gianluca Paolini, Saharon Shelah

Einstein Institute of Mathematics

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

Abstract

We prove that no quantifier-free formula in the language of group theory can define the H₁-half graph in a Polish group, thus generalising some results from [6]. We then pose some questions on the space of groups of automorphisms of a given Borel complete class, and observe that this space must contain at least one uncountable group.

Original language	English
Pages (from-to)	61-71
Number of pages	11
Journal	Reports on Mathematical Logic
Volume	55
DOIs	https://doi.org/10.4467/20842589RM.20.002.12435
State	Published - 2020

Bibliographical note

Publisher Copyright:
© 2021 Jagiellonian University Press. All rights reserved.

Keywords

Automorphism groups
Locally finite groups
Polish groups

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10.4467/20842589RM.20.002.12435

Cite this

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Some results on polish groups

Abstract

Bibliographical note

Keywords

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