A Hausdorff (Urysohn) [Regular] Space In Which Closed Sets are Hausdorff-Closed (Urysohn-Closed) [Rgular-Closed] Is Compact
AbstractIn  the following questions were stated as open problems: (1) Is a Urysohn-space in which every closed subset is Urysohn closed compact? and (2) is a regular space in which every closed subset is regular-closed compact? In this article both of these questions are answered in the affirmative.
No manuscript should be submitted which has previously been published, or which has been simultaneously submitted for publication elsewhere. The copyright in a published article rests solely with the Modern Science Publishers, and the paper may not be reproduced in whole in part by any means whatsoever without prior written permission.