Add to ORKGWe describe the residue fields of arbitrary convex valuations on certain o-minimal expansions of the ordered field of real numbers. References: [1] Franz-Viktor and Salma Kuhlmann: Residue fields of arbitrary convex valuations on restricted analytic fields with exponentiation I, The Fields Institute Preprint Series (1997). [2] Franz-Viktor and Salma Kuhlmann: Valuation theory of exponential Hardy fields I, Mathematische Zeitschrift 243, 671--688 (2003) [3] Ordered Exponential Fields, by Salma Kuhlmann, The Fields Institute Monograph Series Vol. 12, (2000)
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
106 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Let R be a model of an o-m...
In this paper, we analyze the structure of the Hardy fields associated with o-minimal expansions of ...
We describe the valuation theoretic properties of the Hardy fields associated to models of , where T...
Let F be an archimedean field, G a divisible ordered abelian group and h a group exponential on G. A...
The first chapter comprises a survey of valuations on totally ordered structures, developing notatio...
Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profou...
We consider a valued field of characteristic 0 with embedded residue field. We fix an additive compl...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
This thesis investigates some properties of valuations on fields. Basic definitions and theorems as...
AbstractIn his doctor thesis (Mem. Acad. Roy. Belg. 11, No. 4 (1937), 1–110), M. Krasner proved the ...
In an extended abstract Ressayre considered real closed exponential fields and integer parts that re...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
106 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Let R be a model of an o-m...
In this paper, we analyze the structure of the Hardy fields associated with o-minimal expansions of ...
We describe the valuation theoretic properties of the Hardy fields associated to models of , where T...
Let F be an archimedean field, G a divisible ordered abelian group and h a group exponential on G. A...
The first chapter comprises a survey of valuations on totally ordered structures, developing notatio...
Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profou...
We consider a valued field of characteristic 0 with embedded residue field. We fix an additive compl...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to...
This thesis investigates some properties of valuations on fields. Basic definitions and theorems as...
AbstractIn his doctor thesis (Mem. Acad. Roy. Belg. 11, No. 4 (1937), 1–110), M. Krasner proved the ...
In an extended abstract Ressayre considered real closed exponential fields and integer parts that re...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
106 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Let R be a model of an o-m...