AbstractIn a Master's thesis in 1985 and a subsequent paper published in 1992, the author discovered that the universal separable metric space (up to isometry) discovered by Urysohn in 1925 has a uniquely determined linear closure (up to linear isometry) when isometrically embedded in a Banach space so as to include the zero of the Banach space. The proof of this result is given in this note and the current status of some related questions is discussed
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
We show that if a separable Banach space X contains an isometric copy of every strictly convex separ...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
In a Master\u27s thesis in 1985 and a subsequent paper published in 1992, the author discovered that...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
AbstractA construction of the Urysohn's universal metric space is given in the context of constructi...
We construct the Urysohn metric space in constructive setting without choice principles. The Urysohn...
Abstract: We construct the Urysohn metric space in constructive setting without choice principles. T...
AbstractThe Urysohn universal metric space U is characterized up to isometry by the following proper...
The Urysohn space is a separable complete metric space with two fundamental properties: (a) universa...
We show that if a separable Banach space Z contains isometric copies of every strictly convex separa...
AbstractIn recent years, much interest was devoted to the Urysohn space U and its isometry group; th...
We show that if a separable Banach space Z contains isometric copies of every strictly convex separa...
AbstractThree approaches to a direct construction of Urysohn universal space are compared, namely th...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
We show that if a separable Banach space X contains an isometric copy of every strictly convex separ...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
In a Master\u27s thesis in 1985 and a subsequent paper published in 1992, the author discovered that...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
AbstractA construction of the Urysohn's universal metric space is given in the context of constructi...
We construct the Urysohn metric space in constructive setting without choice principles. The Urysohn...
Abstract: We construct the Urysohn metric space in constructive setting without choice principles. T...
AbstractThe Urysohn universal metric space U is characterized up to isometry by the following proper...
The Urysohn space is a separable complete metric space with two fundamental properties: (a) universa...
We show that if a separable Banach space Z contains isometric copies of every strictly convex separa...
AbstractIn recent years, much interest was devoted to the Urysohn space U and its isometry group; th...
We show that if a separable Banach space Z contains isometric copies of every strictly convex separa...
AbstractThree approaches to a direct construction of Urysohn universal space are compared, namely th...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
We show that if a separable Banach space X contains an isometric copy of every strictly convex separ...
The thesis covers the properties of isometric embeddings of metric spaces into the Urysohn universal...
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