Hyperseries subfields of surreal numbers
Logic
2024-10-07 v2
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.
Keywords
Cite
@article{arxiv.2409.16251,
title = {Hyperseries subfields of surreal numbers},
author = {Vincent Bagayoko},
journal= {arXiv preprint arXiv:2409.16251},
year = {2024}
}
Comments
31 pages