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)

An empty class of nonmetric spaces


Author: Alan Dow
Journal: Proc. Amer. Math. Soc. 104 (1988), 999-1001
MSC: Primary 54E35; Secondary 54E45
MathSciNet review: 964886
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let CSSM be the class of compact nonmetrizable spaces in which every subspace of cardinality at most $ {\omega _1}$ is metrizable. We show that CSSM is empty.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54E35, 54E45

Retrieve articles in all journals with MSC: 54E35, 54E45


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0964886-9
PII: S 0002-9939(1988)0964886-9
Keywords: Compact, metrizable, reflection
Article copyright: © Copyright 1988 American Mathematical Society