Pfaffian Sets and O-minimality
Pfaffian Sets and O-minimality
复制标题
普法夫集和 O 极小性
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
P. Speissegger
中科院分区：
文献类型：
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作者：
P. Speissegger
Recent developments in the theory of pfaffian sets are presented from a model-theoretic point of view. In particular, the current state of affairs for Van den Dries’s model-completeness conjecture is discussed in some detail. I prove the o-minimality of the pfaffian closure of an o-minimal structure, and I extend a weak model completeness result, originally proved as Theorem 5.1 in (J.-M. Lion and P. Speissegger, Duke Math J 103:215–231, 2000), to certain reducts of the pfaffian closure, such as the reduct generated by a single pfaffian chain.
