Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Inducible periodic homeomorphisms of tree-like continua

Author: Juan A. Toledo
Journal: Trans. Amer. Math. Soc. 282 (1984), 77-108
MSC: Primary 54F20; Secondary 05C05, 54F15, 54F50, 54H15
MathSciNet review: 728704
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove that every periodic homeomorphism on a tree-like continuum can be strongly induced on an inverse sequence composed of a certain kind of graph that we call ``bellows''. We introduce the concepts of ``#-graph'' of a periodic homeomorphism and of ``perfect'' homeomorphism. A theorem concerning the parallel inducing of two periodic homeomorphisms having orbit spaces with the same multiplicity structure is also proved. The results are related to conjugacy and to the pseudo-arc.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54F20, 05C05, 54F15, 54F50, 54H15

Retrieve articles in all journals with MSC: 54F20, 05C05, 54F15, 54F50, 54H15

Additional Information

PII: S 0002-9947(1984)0728704-7
Keywords: Tree-like continuum, periodic homeomorphism, inducible homeomorphism, perfect homeomorphism, conjugacy, pseudo-arc
Article copyright: © Copyright 1984 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