Tipo di tesi
Tesi di laurea magistrale
Titolo
Surreal numbers, Transseries and Omega maps
Corso di studi
MATEMATICA
Parole chiave
- exponential
- field
- logarithm
- logarithmic
- logic
- omega
- ordered
- surreal
- transseries
Data inizio appello
13/12/2019
Riassunto (Italiano)
We prove the ordered abelian group of monomials of the field of logarithmic exponential transseries is isomorphic to the additive reduct of the field itself and describe such an isomorphism (omega map); then discuss its relation with Conway's omega map on surreal numbers. In the process, a way of defining a "bounded version" of Hahn fields, starting from some additionl "bound" data, is described, and a decomposition theorem for the group of monomials of transseries is proven.
