The surreal numbers as a universal \(H\)-field

DOI10.4171/JEMS/858zbMath1470.12004arXiv1512.02267OpenAlexW2963447503WikidataQ101242912 ScholiaQ101242912MaRDI QIDQ1737977

Matthias Aschenbrenner, Joris van der Hoeven, L. P. D. van den Dries

Publication date: 24 April 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02267

zbMATH Keywords

transseriesdifferential fieldsHardy fieldssurreal numbers

Mathematics Subject Classification ID

Differential algebra (12H05) Valued fields (12J10)

Related Items

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, Logarithmic hyperseries, SURREAL ORDERED EXPONENTIAL FIELDS

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