Publikation:

The Exponential-Logarithmic Equivalence Classes of Surreal Numbers

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2014

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Matusinski, Mickaël

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http://nbn-resolving.de/urn:nbn:de:bsz:352-275941
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https://doi.org/10.1007/s11083-013-9315-3
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Order. 2014, 32(1), pp. 53-68. ISSN 0167-8094. eISSN 1572-9273. Available under: doi: 10.1007/s11083-013-9315-3

Zusammenfassung

In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. In this paper, we give a complete description of the exponential equivalence classes in the spirit of the additive and multiplicative equivalence classes. This description is made in terms of a recursive formula as well as a sign sequence formula for the family of representatives of minimal length of these exponential classes.

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510 Mathematik

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ISO 690KUHLMANN, Salma, Mickaël MATUSINSKI, 2014. The Exponential-Logarithmic Equivalence Classes of Surreal Numbers. In: Order. 2014, 32(1), pp. 53-68. ISSN 0167-8094. eISSN 1572-9273. Available under: doi: 10.1007/s11083-013-9315-3
BibTex
@article{Kuhlmann2014Expon-27594,
  year={2014},
  doi={10.1007/s11083-013-9315-3},
  title={The Exponential-Logarithmic Equivalence Classes of Surreal Numbers},
  number={1},
  volume={32},
  issn={0167-8094},
  journal={Order},
  pages={53--68},
  author={Kuhlmann, Salma and Matusinski, Mickaël}
}
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