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Preprint Number 510

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510. Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler
Ample Hierarchy

Submission date: 10 October 2012.


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.

Mathematics Subject Classification: 03C45

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Full text arXiv 1210.2552: pdf, ps.

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