The domination monoid in o-minimal theories

Journal of Mathematical Logic 22 (1) (2021)
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Abstract

We study the monoid of global invariant types modulo domination-equivalence in the context of o-minimal theories. We reduce its computation to the problem of proving that it is generated by classes...

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2022

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10.1142/s0219061321500306

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Citations of this work

An Invitation to Extension Domination.Kyle Gannon & Jinhe Ye - 2023 - Notre Dame Journal of Formal Logic 64 (3):253-280.

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References found in this work

Distal and non-distal NIP theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
Product of invariant types modulo domination–equivalence.Rosario Mennuni - 2020 - Archive for Mathematical Logic 59 (1):1-29.
Invariant types in NIP theories.Pierre Simon - 2015 - Journal of Mathematical Logic 15 (2):1550006.
Forking and independence in o-minimal theories.Alfred Dolich - 2004 - Journal of Symbolic Logic 69 (1):215-240.
Imaginaries in real closed valued fields.Timothy Mellor - 2006 - Annals of Pure and Applied Logic 139 (1):230-279.

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