Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Mathematische Zeitschrift (to appear)
 

Summary: Mathematische Zeitschrift
(to appear)
H-fields and their Liouville Extensions
Matthias Aschenbrenner 1, Lou van den Dries 2
1
University of Illinois at Urbana-Champaign, Department of Mathematics, 1409 West
Green Street, Urbana, IL 61801, U.S.A. (e-mail: maschenb@math.uiuc.edu)
2
University of Illinois at Urbana-Champaign, Department of Mathematics, 1409 West
Green Street, Urbana, IL 61801, U.S.A. (e-mail: vddries@math.uiuc.edu)
The date of receipt and acceptance will be inserted by the editor
Dedicated to the memory of Maxwell Rosenlicht (19241999).
Abstract We introduce H-fields as ordered differential fields of a cer-
tain kind. Hardy fields extending R, as well as the field of logarithmic-
exponential series over R are H-fields. We study Liouville extensions in
the category of H-fields, as a step towards a model theory of H-fields. The
main result is that an H-field has at most two Liouville closures.
Contents
1 H-Fields and Differential-Valued Fields . . . . . . . . . . . . . . . . . . . . . 5
2 Asymptotic Couples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

  

Source: Aschenbrenner, Matthias - Department of Mathematics, University of California at Los Angeles

 

Collections: Mathematics