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- W3042444564 abstract "The study of Borel equivalence relations on Polish spaces has become a major area of focus within descriptive set theory. Primarily, work in this area has been carried out using the standard methods of descriptive set theory. In this work, however, we develop a model-theoretic framework suitable for the study of Borel equivalence relations, introducing a class of objects we call Borel structurings. We then use these structurings to examine conditions under which marker sets for Borel equivalence relations can be concluded to exist or not exist, as well as investigating to what extent the Compactness Theorem from first-order logic continues to hold for Borel structurings." @default.
- W3042444564 created "2020-07-23" @default.
- W3042444564 creator A5062341525 @default.
- W3042444564 date "2019-08-01" @default.
- W3042444564 modified "2023-10-17" @default.
- W3042444564 title "Applications of a Model-Theoretic Approach to Borel Equivalence Relations" @default.
- W3042444564 hasPublicationYear "2019" @default.
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