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- W4245216955 abstract "This chapter focuses on the properties of strongly stably dominated types over valued fields bases. In this setting, strong stability corresponds to a strong form of the Abhyankar property for valuations: the transcendence degrees of the extension coincide with those of the residue field extension. The chapter proves a Bertini type result and shows that the strongly stable points form a strict ind-definable subset <italic>V</italic>superscript Number Sign of unit vector V. It then proves a rigidity statement for iso-definable Γ-internal subsets of maximal o-minimal dimension of unit vector V, namely that they cannot be deformed by any homotopy leaving appropriate functions invariant. The chapter also describes the closure of iso-definable Γ-internal sets in <italic>V</italic>superscript Number Sign and proves that <italic>V</italic>superscript Number Sign is exactly the union of all skeleta." @default.
- W4245216955 created "2022-05-12" @default.
- W4245216955 creator A5053070582 @default.
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- W4245216955 date "2017-10-19" @default.
- W4245216955 modified "2023-09-27" @default.
- W4245216955 title "Strongly stably dominated points" @default.
- W4245216955 doi "https://doi.org/10.23943/princeton/9780691161686.003.0008" @default.
- W4245216955 hasPublicationYear "2017" @default.
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