arXiv:2409.16251 Abstract | arXiv Analytics

arXiv:2409.16251 [math.LO]Abstract References Reviews Resources

Hyperseries subfields of surreal numbers

Published 2024-09-24Version 1

We study subfields of surreal numbers, called hyperseries fields, that are suited to be equipped with derivations and composition laws. We show how to define embeddings on hyperseries fields that commute with transfinite sums and all hyperexponential and hyperlogarithmic functions.

Comments: 31 pages

Categories: math.LO

Keywords: surreal numbers, hyperseries subfields, hyperseries fields, study subfields, composition laws

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