Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

AMPLE HIERARCHY

Abstract : 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 exhibited.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00863214
Contributor : Amador Martin-Pizarro Connect in order to contact the contributor
Submitted on : Tuesday, November 19, 2013 - 10:31:38 AM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Saturday, April 8, 2017 - 1:30:16 AM

File

ah-IMPAN.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00863214, version 2

Citation

Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler. AMPLE HIERARCHY. 2013. ⟨hal-00863214v2⟩

Share

Metrics

Record views

477

Files downloads

169