Ample hierarchy
Andreas Baudisch; Amador Martin-Pizarro; Martin Ziegler
Fundamenta Mathematicae (2014)
- Volume: 224, Issue: 2, page 97-153
- ISSN: 0016-2736
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topAndreas Baudisch, Amador Martin-Pizarro, and Martin Ziegler. "Ample hierarchy." Fundamenta Mathematicae 224.2 (2014): 97-153. <http://eudml.org/doc/283198>.
@article{AndreasBaudisch2014,
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 given.},
author = {Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler},
journal = {Fundamenta Mathematicae},
keywords = {model theory; CM-triviality},
language = {eng},
number = {2},
pages = {97-153},
title = {Ample hierarchy},
url = {http://eudml.org/doc/283198},
volume = {224},
year = {2014},
}
TY - JOUR
AU - Andreas Baudisch
AU - Amador Martin-Pizarro
AU - Martin Ziegler
TI - Ample hierarchy
JO - Fundamenta Mathematicae
PY - 2014
VL - 224
IS - 2
SP - 97
EP - 153
AB - 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.
LA - eng
KW - model theory; CM-triviality
UR - http://eudml.org/doc/283198
ER -
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