AbstractSome subfields of the field of real numbers which consist exclusively of rational numbers and Liouville numbers are given. Each of these fields is a completion of the rational number field endowed with a field topology finer than the usual topology
In this paper, we first introduce the notion of a completion. Completions are inductive properties w...
Spaces which are metrizable completions of the space Q of rationals are described. A characterizatio...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
AbstractSome examples of locally unbounded topologizations of the field of rational numbers are give...
In fact, the real numbers do not have the structure of a field. Rather, they are the limit of a proj...
In this diploma thesis we first present real numbers and the two divisions of the set of real number...
It is well-known that the real number system can be characterised as a topological space [1], [3], a...
The purpose of this thesis is to study the concept of completeness in an ordered field. Several con...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
In this paper, we prove that some power series with rational coefficients take either values of rati...
In 1932, Mahler introduced a classification of transcendental numbers that pertained to both complex...
completion |B | of B. Furthermore, by Corollary 18.33, the groupoid completion is the fundamental gr...
International audienceWe define a Siegel field to be a subfield K of the algebraic numbers over whic...
Every rationally connected variety over the function field of a curve has a rational poin
summary:An ordered field is a field which has a linear order and the order topology by this order. F...
In this paper, we first introduce the notion of a completion. Completions are inductive properties w...
Spaces which are metrizable completions of the space Q of rationals are described. A characterizatio...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
AbstractSome examples of locally unbounded topologizations of the field of rational numbers are give...
In fact, the real numbers do not have the structure of a field. Rather, they are the limit of a proj...
In this diploma thesis we first present real numbers and the two divisions of the set of real number...
It is well-known that the real number system can be characterised as a topological space [1], [3], a...
The purpose of this thesis is to study the concept of completeness in an ordered field. Several con...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
In this paper, we prove that some power series with rational coefficients take either values of rati...
In 1932, Mahler introduced a classification of transcendental numbers that pertained to both complex...
completion |B | of B. Furthermore, by Corollary 18.33, the groupoid completion is the fundamental gr...
International audienceWe define a Siegel field to be a subfield K of the algebraic numbers over whic...
Every rationally connected variety over the function field of a curve has a rational poin
summary:An ordered field is a field which has a linear order and the order topology by this order. F...
In this paper, we first introduce the notion of a completion. Completions are inductive properties w...
Spaces which are metrizable completions of the space Q of rationals are described. A characterizatio...
AbstractThe theorem of Lang asserting that a formally real finitely generated field extension of a r...
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