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Ordered Exponential Fields
About this Title
Salma Kuhlmann, University of Saskatchewan, Saskatoon, SK, Canada
Publication: Fields Institute Monographs
Publication Year:
2000; Volume 12
ISBNs: 978-0-8218-0943-3 (print); 978-1-4704-3139-6 (online)
DOI: https://doi.org/10.1090/fim/012
MathSciNet review: MR1760173
MSC: Primary 12J15; Secondary 03C60, 06F25, 12L12, 26A12
Table of Contents
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Front/Back Matter
Chapters
- Chapter 0. Preliminaries on valued and ordered modules
- Chapter 1. Non-archimedean exponential fields
- Chapter 2. Valuation theoretic interpretation of the growth and Taylor axioms
- Chapter 3. The exponential rank
- Chapter 4. Construction of exponential fields
- Chapter 5. Models for the elementary theory of the reals with restricted analytic functions and exponentiation
- Chapter 6. Exponential Hardy fields
- Chapter 7. The model theory of contraction groups