On uniform canonical bases in Lp lattices and other metric structures

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چکیده

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On uniform canonical bases in Lp lattices and other metric structures

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 al...

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ژورنال

عنوان ژورنال: Journal of Logic and Analysis

سال: 2012

ISSN: 1759-9008

DOI: 10.4115/jla.2012.4.12