ETD

Archivio digitale delle tesi discusse presso l'Università di Pisa

Tesi etd-11232019-091151


Tipo di tesi
Tesi di laurea magistrale
Autore
FRENI, PIETRO
Indirizzo email
pietro.freni@hotmail.it
URN
etd-11232019-091151
Titolo
Surreal numbers, Transseries and Omega maps
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Berarducci, Alessandro
Parole chiave
  • ordered
  • omega
  • logic
  • logarithmic
  • logarithm
  • field
  • exponential
  • surreal
  • transseries
Data inizio appello
13/12/2019
Consultabilità
Completa
Riassunto
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.
File