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Urysohn universal space, its development and Hausdorff's approach
2008
Topology and its Applications
Three approaches to a direct construction of Urysohn universal space are compared, namely those of Urysohn, Hausdorff and Katětov. More details are devoted to the unpublished Hausdorff's approach that is shown to work in a more general situation, too. We shall compare three constructions of Urysohn universal space, namely the original one by Urysohn, an unpublished one by Hausdorff, and finally a general construction given by Katětov. We show that the idea of the Hausdorff's construction works
doi:10.1016/j.topol.2008.03.020
fatcat:7vybwl3hrngcxmo64mvzaoyft4