Document Type
Article
Publication Date
4-24-2008
Abstract
In 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.
Publication Information
Holmes, Randall. (2008). "The Urysohn Space Embeds in Banach Spaces in Just One Way". Topology and its Applications, 155(14), 1479-1482. http://dx.doi.org/10.1016/j.topol.2008.03.013
Comments
This is an author-produced version of this article. The final, definitive version of this document can be found online at Topology and its Applications published by Elsevier. Copyright restrictions may apply. DOI: 10.1016/j.topol.2008.03.013