Hyperseries subfields of surreal numbers
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912058156515328 |
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| author | Bagayoko, Vincent |
| author_facet | Bagayoko, Vincent |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16251 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperseries subfields of surreal numbers Bagayoko, Vincent Logic 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. |
| title | Hyperseries subfields of surreal numbers |
| topic | Logic |
| url | https://arxiv.org/abs/2409.16251 |