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)


Metrizability of compact sets and continuous selections

Author: G. Mägerl
Journal: Proc. Amer. Math. Soc. 72 (1978), 607-612
MSC: Primary 54C65; Secondary 46A99
MathSciNet review: 509263
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that, in two of Michael's theorems on continuous selections, the condition that the range of the correspondence under consideration be metrizable is not only essential (as known through several counterexamples), but in some sense also necessary. This yields a characterization of metrizability for compact spaces and compact convex sets by means of continuous selections.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C65, 46A99

Retrieve articles in all journals with MSC: 54C65, 46A99

Additional Information

PII: S 0002-9939(1978)0509263-3
Keywords: Continuous selections, metrizability of compact sets
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia