Unbounded actions of metric groups and continuous logic

Unbounded actions of metric groups and continuous logic

We study expressive power of continuous logic in classes of metric groups defined by properties of their actions. We concentrate on unbounded continuous actions on metric spaces. For example, we consider the properties non‐OB, non‐FH and non‐FR.

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Veröffentlicht in:Mathematical logic quarterly 2021-05, Vol.67 (2), p.206-225
1. Verfasser: Ivanov, Aleksander
Format: Artikel
Sprache:eng
Schlagworte:
Metric space
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Zusammenfassung:We study expressive power of continuous logic in classes of metric groups defined by properties of their actions. We concentrate on unbounded continuous actions on metric spaces. For example, we consider the properties non‐OB, non‐FH and non‐FR.
ISSN:0942-5616
1521-3870
DOI:10.1002/malq.202000050