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

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

 

Stable extensions of homeomorphisms on the pseudo-arc


Author: Judy Kennedy
Journal: Trans. Amer. Math. Soc. 310 (1988), 167-178
MSC: Primary 54F20; Secondary 54F50, 54H20
MathSciNet review: 939804
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the following:

Theorem. If $ P' $ is a proper subcontinuum of the pseudoarc $ P,\,h' $ is a homeomorphism from $ P' $ onto itself, and $ \Theta $ is an open set in $ P$ that contains $ P' $, then there is a homeomorphism $ h$ from $ P$ onto itself such that $ h\vert P' = h' $ and $ h(x) = x$ for $ x \notin \Theta $.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54F20, 54F50, 54H20

Retrieve articles in all journals with MSC: 54F20, 54F50, 54H20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0939804-4
PII: S 0002-9947(1988)0939804-4
Keywords: Continuum, pseudoarc, chainable, pseudocircle, hereditarily indecomposable, stable homeomorphism, extensions of homeomorphisms
Article copyright: © Copyright 1988 American Mathematical Society