Real closed fields with non-standard and standard analytic structure
نویسندگان
چکیده
منابع مشابه
Real Closed Fields with Nonstandard and Standard Analytic Structure
We consider the ordered field which is the completion of the Puiseux series field over R equipped with a ring of analytic functions on [−1, 1]n which contains the standard subanalytic functions as well as functions given by tadically convergent power series, thus combining the analytic structures from [DD] and [LR3]. We prove quantifier elimination and o–minimality in the corresponding language...
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We consider the ordered field which is the completion of the Puiseux series field over R equipped with a ring of analytic functions on [−1, 1]n which contains the standard subanalytic functions as well as functions given by tadically convergent power series, thus combining the analytic structures from [DD] and [LR3]. We prove quantifier elimination and o–minimality in the corresponding language...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2008
ISSN: 0024-6107
DOI: 10.1112/jlms/jdn024