Publications > Preprint server > Preprint Number 2504
Preprint Number 2504
2504. Vincent Bagayoko and Joris van der Hoeven Surreal numbers as hyperseries E-mail: Submission date: 23 October 2023 Abstract: Surreal numbers form the ultimate extension of the field of real numbers with infinitely large and small quantities and in particular with all ordinal numbers. Hyperseries can be regarded as the ultimate formal device for representing regular growth rates at infinity. In this paper, we show that any surreal number can naturally be regarded as the value of a hyperseries at the first infinite ordinal ω. This yields a remarkable correspondence between two types of infinities: numbers and growth rates. Mathematics Subject Classification: Keywords and phrases: |
Last updated: October 29 2023 21:00 | Please send your corrections to: |