EVERY ATTRACTOR OF A FLOW ON A MANIFOLD HAS THE SHAPE OF A FINITE POLYHEDRON

Authors
GUNTHER B SEGAL J
Citation
B. Gunther et J. Segal, EVERY ATTRACTOR OF A FLOW ON A MANIFOLD HAS THE SHAPE OF A FINITE POLYHEDRON, Proceedings of the American Mathematical Society, 119(1), 1993, pp. 321-329
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
1
Year of publication
1993
Pages
321 - 329
Database
ISI
SICI code
0002-9939(1993)119:1<321:EAOAFO>2.0.ZU;2-7
Abstract
It is shown that the class of compacta which can occur as attractors o f continuous flows on topological manifolds coincides with the class o f finite dimensional compacta having the shape of a finite polyhedron.