NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II

DOI10.1017/jsl.2017.9OpenAlexW2042906326WikidataQ114117994 ScholiaQ114117994MaRDI QIDQ4579810

Elliot Kaplan, Philip Ehrlich

Publication date: 10 August 2018

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b1ad772ef00b37d801b504f8b3e99437f6407e07

zbMATH Keywords

ordered fieldsordered abelian groupssurreal numbersordered domains

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordinal and cardinal numbers (03E10) Model theory of ordered structures; o-minimality (03C64) Ordered fields (12J15)

Related Items (1)

SURREAL ORDERED EXPONENTIAL FIELDS

Cites Work

• Real closed rings. II. Model theory
• An alternative construction of Conway's ordered field No
• Model theory.
• On \(\eta_{\alpha}\)-groups and fields
• Surreal numbers, derivations and transseries
• The surreal numbers as a universal \(H\)-field
• The exponential-logarithmic equivalence classes of surreal numbers
• Fields of surreal numbers and exponentiation
• Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers
• Absolutely saturated models
• Resultats optimaux sur l'existence d'une partie entiere dans les corps ordonnes
• The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small
• Corrigendum to “Number Systems with Simplicity Hierarchies: A Generalization of Conway's Theory of Surreal Numbers”
• Quantifier elimination in the theory of Lp(Lq)-Banach lattices
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