More
on Semi-Urysohn Spaces
Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 2
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
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.
@article{BMMS_2002_25_2_a3,
author = {Julian Dontchev and Maximilian Ganster},
title = {More
on {Semi-Urysohn} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2002},
volume = {25},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2002_25_2_a3/}
}
Julian Dontchev; Maximilian Ganster. More
on Semi-Urysohn Spaces. Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2002_25_2_a3/