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)


Local connectedness in transformation groups

Author: Keith Whittington
Journal: Proc. Amer. Math. Soc. 130 (2002), 903-907
MSC (2000): Primary 54H15; Secondary 54D05
Published electronically: July 31, 2001
MathSciNet review: 1866047
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This note shows that under very general conditions, in a topological transformation group, the natural map from the group onto an orbit is almost open. The implications for local connectedness are investigated. In particular, if the image of a path component of the group is sufficiently ``robust", the orbit will be locally connected.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 54H15, 54D05

Retrieve articles in all journals with MSC (2000): 54H15, 54D05

Additional Information

Keith Whittington
Affiliation: Department of Mathematics, University of the Pacific, Stockton, California 95211

PII: S 0002-9939(01)06131-7
Received by editor(s): April 12, 2000
Received by editor(s) in revised form: August 28, 2000
Published electronically: July 31, 2001
Communicated by: Alan Dow
Article copyright: © Copyright 2001 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