Surreal substructures

DOI10.4064/FM231020-23-2MaRDI QIDQ6614529

Joris van der Hoeven, Vincent Bagayoko

Publication date: 7 October 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

zbMATH Keywords

transseriesinductive definitionssurreal numbers

Mathematics Subject Classification ID

Other classical set theory (including functions, relations, and set algebra) (03E20) Model theory of ordered structures; o-minimality (03C64)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Embedding Henselian fields into power series
• Operators on generalized power series
• Über die nichtarchimedischen Größensysteme.
• Surreal numbers, derivations and transseries
• The surreal numbers as a universal \(H\)-field
• The exponential-logarithmic equivalence classes of surreal numbers
• Transseries and real differential algebra
• Fields of surreal numbers and exponentiation
• Remarks on surreal numbers whose normal form has infinite decomposition.
• Number systems with simplicity hiearchies: A generalization of Conway's theory of surreal numbers
• Introduction to analyzable functions and constructive proof of the Dulac conjecture
• Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers
• Asymptotic Differential Algebra and Model Theory of Transseries
• The effective content of surreal algebra
• NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II
• Surreal numbers with derivation, Hardy fields and transseries: a survey
• Transseries as germs of surreal functions
• ON NUMBERS, GERMS, AND TRANSSERIES
• Logarithmic hyperseries
• Comparison of the axioms of local and universal choice
• Exponential fields and Conway’s omega-map
• Quantifier elimination in the theory of Lp(Lq)-Banach lattices

This page was built for publication: Surreal substructures

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614529)