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By Andreas Baudisch, Amador Martin-pizarro and Martin Ziegler

Abstract

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

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.307.2814
Provided by: CiteSeerX
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