4.0 Article

The diameter of a Lascar strong type

Journal

FUNDAMENTA MATHEMATICAE
Volume 176, Issue 2, Pages 157-170

Publisher

POLISH ACAD SCIENCES INST MATHEMATICS
DOI: 10.4064/fm176-2-4

Keywords

Lascar strong type; invariant equivalence relation; Baire category theorem

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We prove that a type-definable Lascar strong type has finite diameter. We also answer some other questions from [1] on Lascar strong types. We give some applications on subgroups of type-definable groups.

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