Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On nowhere dense closed $ P$-sets


Authors: Kenneth Kunen, Jan van Mill and Charles F. Mills
Journal: Proc. Amer. Math. Soc. 78 (1980), 119-123
MSC: Primary 54D25; Secondary 54A25
MathSciNet review: 548097
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that no compact space of weight $ {\omega _1}$ can be covered by nowhere dense closed P-sets. In addition, we construct a compact space of weight $ {\omega _2}$ which can be covered by nowhere dense closed P-sets. As an application, we show that CH is equivalent to the statement that each small nonpseudocompact space has a remote point.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D25, 54A25

Retrieve articles in all journals with MSC: 54D25, 54A25


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0548097-X
PII: S 0002-9939(1980)0548097-X
Keywords: Nowhere dense, P-set, remote point, CH
Article copyright: © Copyright 1980 American Mathematical Society