Pré-Publication, Document De Travail Année : 2025

DOMINATION, FIBRATIONS AND SPLITTING

Christine Eagles
  • Fonction : Auteur
  • PersonId : 1367486
Léo Jimenez
  • Fonction : Auteur
  • PersonId : 1367487

Résumé

This article is concerned with finite rank stability theory, and more precisely two classical ways to decompose a type using minimal types. The first is its domination equivalence to a Morley power of minimal types, and the second its semi-minimal analysis, both of which are useful in applications. Our main interest is to explore how these two decompositions are connected. We prove that neither determine the other in general, and give more precise connections using various notions from the model theory literature such as uniform internality, proper fibrations and disintegratedness.

Fichier principal
Vignette du fichier
Splitting_and_domination_dichotomies_for_fibrations-1.pdf (362.99 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04993055 , version 1 (16-03-2025)
hal-04993055 , version 2 (28-12-2025)

Licence

Identifiants

  • HAL Id : hal-04993055 , version 2

Citer

Christine Eagles, Léo Jimenez. DOMINATION, FIBRATIONS AND SPLITTING. 2025. ⟨hal-04993055v2⟩
25 Consultations
123 Téléchargements

Partager

  • More