On uniform canonical bases in Lp lattices and other metric structures

نویسنده

  • Itay Ben-Yaacov
چکیده

We discuss the notion of uniform canonical bases, both in an abstract manner and specifically for the theory of atomless Lp lattices. We also discuss the connection between the de nability of the set of uniform canonical bases and the existence of the theory of beautiful pairs (i.e., with the nite cover property), and prove in particular that the set of uniform canonical bases is de nable in algebraically closed metric valued elds.

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عنوان ژورنال:
  • J. Logic & Analysis

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2012