Exponential fields and Conway’s omega-map
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Publication:5889243
DOI10.1090/proc/14577OpenAlexW2895315998MaRDI QIDQ5889243
Vincenzo Mantova, Salma Kuhlmann, Alessandro Berarducci, Mickaël Matusinski
Publication date: 19 April 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.03029
Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Model theory of ordered structures; o-minimality (03C64)
Cites Work
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- The elementary theory of restricted analytic fields with exponentiation
- Ordered exponential fields
- Surreal numbers, derivations and transseries
- \(\kappa\)-bounded exponential-logarithmic power series fields
- Maximal fields with valuations
- Fields of surreal numbers and exponentiation
- Every real closed field has an integer part
- Exponentiation in power series fields
- Transseries as germs of surreal functions
- On Ordered Division Rings
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