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on Semi-Urysohn Spaces Julian
Dontchev and Maximilian Ganster Abstract.The aim of this note is to present
some results concerning the class of semi-Urysohn spaces,
a concept which has been introduced by M.P. Bhamini [4]
under the name of 's-Urysohn spaces'. Semi-Urysohn spaces
resp. s-Urysohn spaces have been further investigated
in [1], [2] and [5], and quite recently by Noiri and Umehara
[20]. Several examples are provided in order to differentiate
semi-Urysohn spaces from some other well-known classes
of topological spaces. We prove that every Hausdorff space
is homeomorphic to a closed subspace of a Hausdorff semi-Urysohn
space as well as that the product of every first countable
Hausdorff space with the usual space of reals is semi-Urysohn.