Ordered exponential fields

Ordered exponential fields

by Kuhlmann, Salma

Type Book
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Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in other areas of mathematics, notably in algebraic geometry and in singularity theory. Since Wilkie's results on the o-minimality of the expansion of the reals by the exponential function, and most recently even by all Pfaffian functions, the study of o-minimal expansions of the reals has become a fascinating topic. The quest for analogies between the semi-algebraic case and the …

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Title Statements

  • Full title :Ordered exponential fields / Salma Kuhlmann.

Summary

Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in other areas of mathematics, notably in algebraic geometry and in singularity theory. Since Wilkie's results on the o-minimality of the expansion of the reals by the exponential function, and most recently even by all Pfaffian functions, the study of o-minimal expansions of the reals has become a fascinating topic. The quest for analogies between the semi-algebraic case and the o-minimal case has set a direction to this research. Through the Artin-Schreier Theory of real closed.

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Edition Statements

  • Publication Date:©2000.

Publication Statements

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:0821809431, 9780821809433, 9781470431396, 1470431394
  • oclc:ocn956673330
  • LC Classification:QA9.7
  • Dewey Decimal:511/.8

Subjects

Algèbre en théorie des modèles Corps ordonnés Model-theoretic algebra Ordered fields

Writers

Kuhlmann, Salma

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