Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Locally $ P$-closed spaces and rim $ P$-closed spaces


Author: Dix H. Pettey
Journal: Proc. Amer. Math. Soc. 87 (1983), 543-548
MSC: Primary 54D25; Secondary 54C15
MathSciNet review: 684655
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown in this paper that for $ P = {T_2}$ or $ P = {T_3}$ every locally $ P$-closed space is a retract of a rim $ P$-closed, locally $ P$-closed space by an open, perfect retraction map. From this it follows that there exist noncompact, rim $ H$-closed, $ H$-closed spaces and noncompact, rim $ R$-closed, $ R$-closed spaces.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D25, 54C15

Retrieve articles in all journals with MSC: 54D25, 54C15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0684655-2
PII: S 0002-9939(1983)0684655-2
Keywords: $ P$-closed space, locally $ P$-closed space, rim $ P$-closed space
Article copyright: © Copyright 1983 American Mathematical Society