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)


Joint continuity of separately continuous functions

Author: Jens Peter Reus Christensen
Journal: Proc. Amer. Math. Soc. 82 (1981), 455-461
MSC: Primary 54C05
MathSciNet review: 612739
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that a separately continuous function $ f:X \times Y \to Z$ from the product of a certain type of Hausdorff space $ X$ and a compact Hausdorff space $ Y$ into a metrizable space $ Z$ is jointly continuous on a set of the type $ A \times Y$, where $ A$ is a dense $ {G_\delta }$ set in $ X$. The class of Hausdorff spaces $ X$ in question is defined by a gametheoretic condition. The result improves (and simplifies the proof of) a recent result of Namioka. Many "deep" theorems in functional analysis and automatic continuity theory are easy corollaries.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C05

Retrieve articles in all journals with MSC: 54C05

Additional Information

PII: S 0002-9939(1981)0612739-1
Keywords: Separate and joint continuity, automatic continuity, denting points
Article copyright: © Copyright 1981 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