Surreal substructures

Vincent Bagayoko; Joris van der Hoeven

doi:10.4064/fm231020-23-2

Surreal substructures

Vincent Bagayoko
, Joris van der Hoeven

Université Paris Cité

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Conway’s field No of surreal numbers comes both with a natural total order and an additional “simplicity relation” which is also a partial order. Considering No as a doubly ordered structure for these two orderings, an isomorphic copy of No inside itself is called a surreal substructure. It turns out that many natural subclasses of No are actually of this type. In this paper, we study various constructions that give rise to surreal substructures and analyze important examples in greater detail.

langue originale	Anglais
Pages (de - à)	25-96
Nombre de pages	72
journal	Fundamenta Mathematicae
Volume	266
Numéro de publication	1
Les DOIs	https://doi.org/10.4064/fm231020-23-2
état	Publié - 1 janv. 2024

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10.4064/fm231020-23-2

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KW - transseries

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Surreal substructures

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