Transseries as germs of surreal functions
From MaRDI portal
Publication:4645127
DOI10.1090/tran/7428zbMath1484.12011arXiv1703.01995OpenAlexW2606239257WikidataQ61821241 ScholiaQ61821241MaRDI QIDQ4645127
Alessandro Berarducci, Vincenzo Mantova
Publication date: 10 January 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01995
Ordinal and cardinal numbers (03E10) Model theory of ordered structures; o-minimality (03C64) Valued fields (12J10)
Related Items (9)
Exponential fields and Conway’s omega-map ⋮ ASYMPTOTIC ANALYSIS OF SKOLEM’S EXPONENTIAL FUNCTIONS ⋮ Hyper-power series and generalized real analytic functions ⋮ Homogeneous universal $H$-fields ⋮ On the value group of the transseries ⋮ Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers ⋮ Logarithmic hyperseries ⋮ Hyperseries in the non-Archimedean ring of Colombeau generalized numbers ⋮ SURREAL ORDERED EXPONENTIAL FIELDS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toward a model theory for transseries
- Hardy fields
- \(H\)-fields and their Liouville extensions
- Ordered exponential fields
- Surreal numbers, derivations and transseries
- The exponential-logarithmic equivalence classes of surreal numbers
- Transseries and real differential algebra
- \(\kappa\)-bounded exponential-logarithmic power series fields
- Fields of surreal numbers and exponentiation
- Asymptotic Differential Algebra and Model Theory of Transseries
- Notes on exponential-logarithmic terms
- Comparison of exponential-logarithmic and logarithmic-exponential series
- The Rank of a Hardy Field
- Growth Properties of Functions in Hardy Fields
- Exponentiation in power series fields
- Logarithmic-Exponential Power Series
- On Ordered Division Rings
- Logarithmic-exponential series
This page was built for publication: Transseries as germs of surreal functions