Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A compactum that cannot be an attractor of a self-map on a manifold


Author: Bernd Günther
Journal: Proc. Amer. Math. Soc. 120 (1994), 653-655
MSC: Primary 55P55; Secondary 54H20, 57N25, 58F12
MathSciNet review: 1170544
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A one-dimensional compactum (in fact, a certain solinoid) is constructed, such that there does not exist a self-map on a manifold having this compactum as attractor.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55P55, 54H20, 57N25, 58F12

Retrieve articles in all journals with MSC: 55P55, 54H20, 57N25, 58F12


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1170544-3
PII: S 0002-9939(1994)1170544-3
Keywords: Dynamical systems, attractors, shape, solenoid
Article copyright: © Copyright 1994 American Mathematical Society