Natalia Walder - FB Mathematik und Statistik

Universität Konstanz
Fachbereich
Mathematik und Statistik
Schwerpunkt
Reelle Geometrie und Algebra
Einladung
Im Oberseminar Modelltheorie hält
Natalia Walder
(Universität Konstanz)
am Montag, 06.06.2016, einen Vortrag zum Thema:
Exponentiation in non-archimedean ordered fields
Der Vortrag findet um 15:15 Uhr in F426 statt.
Alle Interessenten sind herzlich eingeladen.
Abstract: The non-archimedean ordered real closed field of general power series
does not admit an exponential, i.e. an isomorphism between its ordered additive
group and its ordered multiplicative group of positive elements. S.Kuhlmann [1]
proves a more general result for totally ordered sets which yields that the logarithm
on the multiplicative group is never surjective. A sketch of the proof and its consequences will outline its importance on the study of exponentials on the real closed
field of power series.
[1] S. Kuhlmann, Ordered Exponential Fields, The Fields Institute Monograph Series, vol. 12 (2000), p. 67- 69
Sebastian Gruler
Koordinator Oberseminar

Download Report