Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponential function of Kruskal and Gonshor, can be described as a field of transseries and admits a compatible differential structure of Hardy-type. In this paper we give a complete positive solution to both problems. We also show that with this new differential structure, the surreal numbers are Liouville closed, namely the derivation is surjective
In the first half of this paper we study John H. Conway’s construction of the Surreal Numbers, showi...
AbstractLouck has developed a relation between surreal numbers up to the first transfinite ordinal ω...
The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist po...
Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponenti...
We show that Écalle's transseries and their variants (LE and EL-series) can be interpreted as functi...
The present survey article has two aims: - To provide an intuitive and accessible introduction to ...
We show that the natural embedding of the differential field of transseries into Conway's field of s...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
We give a presentation of Conway’s surreal numbers focusing on the connections with transseries and ...
Conway's real closed field No of surreal numbers is a sweeping generalization of the real numbers an...
Surreal numbers, have a very rich and elegant theory. This class of numbers, denoted by No, includes...
Conway's class No of surreal numbers admits a rich structure: it forms a totally ordered real closed...
University of Minnesota M.S. thesis. May 2015. Major: Mathematics. Advisor: Paul Garrett. 1 computer...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) o...
In the first half of this paper we study John H. Conway’s construction of the Surreal Numbers, showi...
AbstractLouck has developed a relation between surreal numbers up to the first transfinite ordinal ω...
The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist po...
Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponenti...
We show that Écalle's transseries and their variants (LE and EL-series) can be interpreted as functi...
The present survey article has two aims: - To provide an intuitive and accessible introduction to ...
We show that the natural embedding of the differential field of transseries into Conway's field of s...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
We give a presentation of Conway’s surreal numbers focusing on the connections with transseries and ...
Conway's real closed field No of surreal numbers is a sweeping generalization of the real numbers an...
Surreal numbers, have a very rich and elegant theory. This class of numbers, denoted by No, includes...
Conway's class No of surreal numbers admits a rich structure: it forms a totally ordered real closed...
University of Minnesota M.S. thesis. May 2015. Major: Mathematics. Advisor: Paul Garrett. 1 computer...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) o...
In the first half of this paper we study John H. Conway’s construction of the Surreal Numbers, showi...
AbstractLouck has developed a relation between surreal numbers up to the first transfinite ordinal ω...
The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist po...
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