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Ordinal Operations on Surreal Numbers

Ordinal Operations on Surreal Numbers An open problem posed by John H. Conway in [2] was whether one could, on his system of numbers and games, ‘… define operations of addition and multiplication which will restrict on the ordinals to give their usual operations’. Such a definition for addition was later given in [4], and this paper will show that a definition also exists for multiplication. An ordinal exponentiation operation is also considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Ordinal Operations on Surreal Numbers

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References (5)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/26.6.531
Publisher site
See Article on Publisher Site

Abstract

An open problem posed by John H. Conway in [2] was whether one could, on his system of numbers and games, ‘… define operations of addition and multiplication which will restrict on the ordinals to give their usual operations’. Such a definition for addition was later given in [4], and this paper will show that a definition also exists for multiplication. An ordinal exponentiation operation is also considered.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Nov 1, 1994

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