SURREAL ORDERED EXPONENTIAL FIELDS
type: Item
instance of: scholarly article
title: SURREAL ORDERED EXPONENTIAL FIELDS
zbMATH Open document ID: 1495.03057
author: Philip Ehrlich
author: Elliot Kaplan
publication date: 2021-12-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/2002.07739
Mathematics Subject Classification ID: 03C64
Mathematics Subject Classification ID: 12J15
Mathematics Subject Classification ID: 12L12
zbMATH DE Number: 7442020
zbMATH Keywords: surreal numbers
zbMATH Keywords: ordered exponential fields
zbMATH Keywords: real closed exponential fields
zbMATH Keywords: transseries
MaRDI profile type: Publication
OpenAlex ID: W3195696645
Wikidata QID: Q115563637
arXiv ID: 2002.07739
cites work: Q3757993
cites work: Asymptotic Differential Algebra and Model Theory of Transseries
cites work: ON NUMBERS, GERMS, AND TRANSSERIES
cites work: The surreal numbers as a universal \(H\)-field
cites work: Mini-workshop: Surreal numbers, surreal analysis, Hahn fields and derivations. Abstracts from the mini-workshop held December 18--23, 2016
cites work: Surreal numbers, derivations and transseries
cites work: Transseries as germs of surreal functions
cites work: Q4762155
cites work: Real closed exponential fields
cites work: Ultraproducts and approximation in local rings. II
cites work: \(p\)-adic and real subanalytic sets
cites work: A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
cites work: On the elementary theory of restricted elementary functions
cites work: Fields of surreal numbers and exponentiation
cites work: The elementary theory of restricted analytic fields with exponentiation
cites work: Logarithmic-Exponential Power Series
cites work: An alternative construction of Conway's ordered field No
cites work: Absolutely saturated models
cites work: All numbers great and small
cites work: Number systems with simplicity hiearchies: A generalization of Conway's theory of surreal numbers
cites work: Quantiﬁer elimination in the theory of Lp(Lq)-Banach lattices
cites work: The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small
cites work: NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II
cites work: Embedding Henselian fields into power series
cites work: Projections of semi-analytic sets
cites work: Q3726227
cites work: Exponentiation in power series fields
cites work: Ordered exponential fields
cites work: \(\kappa\)-bounded exponential-logarithmic power series fields
cites work: Comparison of exponential-logarithmic and logarithmic-exponential series
cites work: Q5320764
cites work: Every real closed field has an integer part
cites work: On Ordered Division Rings
cites work: Q3140641
cites work: On the elementary theory of restricted real and imaginary parts of holomorphic functions
cites work: Combinatorial game theory
DOI: 10.1017/JSL.2021.59
published in: Journal of Symbolic Logic
description: scientific article; zbMATH DE number 7442020