A COMPACTUM THAT CANNOT BE AN ATTRACTOR OF A SELF-MAP ON A MANIFOLD

Authors
GUNTHER B
Citation
B. Gunther, A COMPACTUM THAT CANNOT BE AN ATTRACTOR OF A SELF-MAP ON A MANIFOLD, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 653-655
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
653 - 655
Database
ISI
SICI code
0002-9939(1994)120:2<653:ACTCBA>2.0.ZU;2-U
Abstract
A one-dimensional compactum (in fact, a certain solinoid) is construct ed, such that there does not exist a self-map on a manifold having thi s compactum as attractor.