Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces.

Author: H. Herrlich
Journal: Proc. Amer. Math. Soc. 26 (1970), 695-698
MSC: Primary 54.22
MathSciNet review: 0268838
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Recently M. P. Berri, J. R. Porter, and R. M. Stephenson, Jr. have given a survey on $ P$-closed and $ P$-minimal spaces. In the present paper the first two problems of this survey will be solved: (1) The product of two Urysohn-closed spaces need not be Urysohn-closed. (2) A completely Hausdorff-closed regular space need not be regular-closed.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54.22

Retrieve articles in all journals with MSC: 54.22

Additional Information

Keywords: Urysohn-closed spaces, regular-closed spaces, completely Hausdorff-closed spaces, minimal topological spaces, products
Article copyright: © Copyright 1970 American Mathematical Society

American Mathematical Society