We construct the Urysohn metric space in constructive setting without choice principles. The Urysohn space is a complete separable metric space which contains an isometric copy of every separable metric space, and any isometric embedding into it from a finite subspace of a separable metric space extends to the whole domain
AbstractIn recent years, much interest was devoted to the Urysohn space U and its isometry group; th...
AbstractA metric space M=(M,d) is indivisible if for every colouring χ:M→2 there exists i∈2 and a co...
A known Urysohn\u27s result shows that there exists a universal} metric space, i.e., a metric space ...
Abstract: We construct the Urysohn metric space in constructive setting without choice principles. T...
AbstractA construction of the Urysohn's universal metric space is given in the context of constructi...
The Urysohn space is a separable complete metric space with two fundamental properties: (a) universa...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
AbstractIn a Master's thesis in 1985 and a subsequent paper published in 1992, the author discovered...
In a Master\u27s thesis in 1985 and a subsequent paper published in 1992, the author discovered that...
AbstractThe Urysohn universal metric space U is characterized up to isometry by the following proper...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
AbstractThree approaches to a direct construction of Urysohn universal space are compared, namely th...
AbstractA metric space is indivisible if for any partition of it into finitely many pieces one piece...
AbstractIn recent years, much interest was devoted to the Urysohn space U and its isometry group; th...
AbstractA metric space M=(M,d) is indivisible if for every colouring χ:M→2 there exists i∈2 and a co...
A known Urysohn\u27s result shows that there exists a universal} metric space, i.e., a metric space ...
Abstract: We construct the Urysohn metric space in constructive setting without choice principles. T...
AbstractA construction of the Urysohn's universal metric space is given in the context of constructi...
The Urysohn space is a separable complete metric space with two fundamental properties: (a) universa...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
AbstractIn a Master's thesis in 1985 and a subsequent paper published in 1992, the author discovered...
In a Master\u27s thesis in 1985 and a subsequent paper published in 1992, the author discovered that...
AbstractThe Urysohn universal metric space U is characterized up to isometry by the following proper...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
AbstractThree approaches to a direct construction of Urysohn universal space are compared, namely th...
AbstractA metric space is indivisible if for any partition of it into finitely many pieces one piece...
AbstractIn recent years, much interest was devoted to the Urysohn space U and its isometry group; th...
AbstractA metric space M=(M,d) is indivisible if for every colouring χ:M→2 there exists i∈2 and a co...
A known Urysohn\u27s result shows that there exists a universal} metric space, i.e., a metric space ...
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