Ample hierarchy

• Autorzy: Andreas Baudisch , Amador Martin-Pizarro , Martin Ziegler
• Języki publikacji: EN

Abstrakty

EN

The ample hierarchy of geometries of stables theories is strict. We generalise the construction of the free pseudospace to higher dimensions and show that the n-dimensional free pseudospace is ω-stable n-ample yet not (n+1)-ample. In particular, the free pseudospace is not 3-ample. A thorough study of forking is conducted and an explicit description of canonical bases is given.

Kategorie tematyczne

• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 97-153

Daty

wydano

2014

Twórcy

autor

Andreas Baudisch

• Institut für Mathematik, Humboldt-Universität zu Berlin, D-10099 Berlin, Germany

autor

Amador Martin-Pizarro

• Université de Lyon CNRS, Université Lyon 1, Institut Camille Jordan UMR 5208, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

autor

Martin Ziegler

• Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, D-79104 Freiburg, Germany

Identyfikatory

DOI

10.4064/fm224-2-1