Ample Hierarchy

نویسندگان

  • ANDREAS BAUDISCH
  • MARTIN ZIEGLER
چکیده

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.

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تاریخ انتشار 2012