THE SPACE OF OMEGA-LIMIT SETS OF A CONTINUOUS MAP OF THE INTERVAL

Authors
BLOKH A BRUCKNER AM HUMKE PD SMITAL J
Citation
A. Blokh et al., THE SPACE OF OMEGA-LIMIT SETS OF A CONTINUOUS MAP OF THE INTERVAL, Transactions of the American Mathematical Society, 348(4), 1996, pp. 1357-1372
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
4
Year of publication
1996
Pages
1357 - 1372
Database
ISI
SICI code
0002-9947(1996)348:4<1357:TSOOSO>2.0.ZU;2-3
Abstract
We first give a geometric characterization of omega-limit sets. We the n use this characterization to prove that the family of omega-limit se ts of a continuous interval map is closed with respect to the Hausdorf f metric. Finally, we apply this latter result to other dynamical syst ems.