Almost minimal systems and periodicity in hyperspaces (CROSBI ID 239870)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Fernández, Leobardo ; Good, Chris ; Puljiz, Mate
engleski
Almost minimal systems and periodicity in hyperspaces
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.
Induced map ; hyperspace ; periodic points ; almost minimal system ; Šarkovs'kii's Order
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Podaci o izdanju
38 (6)
2017.
2158-2179
objavljeno
0143-3857
1469-4417
10.1017/etds.2016.123