On uniform canonical bases in L p lattices and other metric structures

IF 0.3 Q4 LOGIC Journal of Logic and Analysis Pub Date : 2010-08-30 DOI:10.4115/JLA.2012.4.12

I. Yaacov

引用次数: 6

Abstract

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 definability of the set of uniform canonical bases and the existence of the theory of beautiful pairs (i.e., with the finite cover property), and prove in particular that the set of uniform canonical bases is definable in algebra- ically closed metric valued fields. 2010 Mathematics Subject Classification 03C45 (primary); 46B42,12J25 (second- ary)

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关于L p格和其他度量结构中的一致正则基

我们以抽象的方式讨论了一致正则基的概念，并专门讨论了无原子Lp格的理论。讨论了一致正则基集的可定义性与美对理论的存在性(即有限覆盖性质)之间的联系，并特别证明了一致正则基集在代数闭度量值域上是可定义的。2010数学学科分类03C45(初级);46B42,12J25(二次元)

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来源期刊

Journal of Logic and Analysis LOGIC-

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

35 weeks

期刊介绍： "Journal of Logic and Analysis" publishes papers of high quality involving interaction between ideas or techniques from mathematical logic and other areas of mathematics (especially - but not limited to - pure and applied analysis). The journal welcomes papers in nonstandard analysis and related areas of applied model theory; papers involving interplay between mathematics and logic (including foundational aspects of such interplay); mathematical papers using or developing analytical methods having connections to any area of mathematical logic. "Journal of Logic and Analysis" is intended to be a natural home for papers with an essential interaction between mathematical logic and other areas of mathematics, rather than for papers purely in logic or analysis.

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