Scott rank of Polish metric spaces

DOI10.1016/j.apal.2014.08.002zbMath1322.03034arXiv1402.1086OpenAlexW2963271992MaRDI QIDQ741089

Michal Doucha

Publication date: 10 September 2014

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1086

zbMATH Keywords

infinitary logicScott rankPolish metric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Descriptive set theory (03E15) Other infinitary logic (03C75) Basic properties of first-order languages and structures (03C07)

Related Items

AN INTRODUCTION TO THE SCOTT COMPLEXITY OF COUNTABLE STRUCTURES AND A SURVEY OF RECENT RESULTS ⋮ Metric Scott analysis ⋮ Bounds on continuous Scott rank ⋮ Erratum to: ``Scott rank of Polish metric spaces ⋮ Bounds on Scott ranks of some polish metric spaces

Cites Work

• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• Polish Metric Spaces: Their Classification and Isometry Groups
• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
• Set Theory
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