Pregled bibliografske jedinice broj: 879556
Almost minimal systems and periodicity in hyperspaces
Almost minimal systems and periodicity in hyperspaces // Ergodic theory & dynamical systems, 38 (2017), 6; 2158-2179 doi:10.1017/etds.2016.123 (međunarodna recenzija, članak, znanstveni)
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Naslov
Almost minimal systems and periodicity in hyperspaces
Autori
Fernández, Leobardo ; Good, Chris ; Puljiz, Mate
Izvornik
Ergodic theory & dynamical systems (0143-3857) 38
(2017), 6;
2158-2179
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Induced map ; hyperspace ; periodic points ; almost minimal system ; Šarkovs'kii's Order
Sažetak
Given a self-map of a compact metric space X , we study periodic points of the map induced on the hyperspace of closed non-empty subsets of X . We give some necessary conditions on admissible sets of periods for these maps. Seemingly unrelated to this, we construct an almost totally minimal homeomorphism of the Cantor set. We also apply our theory to give a full description of admissible period sets for induced maps of the interval maps. The description of admissible periods is also given for maps induced on symmetric products.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
