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Ordered Algebraic Structures and Related Topics

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Publication:5359526

DOI10.1090/CONM/697zbMATH Open1375.00094arXiv1608.03413OpenAlexW2755087097MaRDI QIDQ5359526

Author name not available (Why is that?)

Publication date: 25 September 2017

Published in: (Search for Journal in Brave)

Abstract: The present article surveys surreal numbers with an informal approach, from their very first definition to their structure of universal real closed analytic and exponential field. Then we proceed to give an overview of the recent achievements on equipping them with a derivation, which is done by proving that surreal numbers can be seen as transseries and by finding the `simplest' structure of H-field, the abstract version of a Hardy field. All the latter notions and their context are also addressed, as well as the universality of the resulting structure for surreal numbers.


Full work available at URL: https://arxiv.org/abs/1608.03413




Mathematics Subject Classification ID

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