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arXiv · 2409.16251

Hyperseries subfields of surreal numbers

Vincent Bagayoko
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Abstract

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.

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Vincent Bagayoko. 2024-09-24. Hyperseries subfields of surreal numbers. https://arxiv.org/abs/2409.16251

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