Pregled bibliografske jedinice broj: 1106154
Topological entropy for closed subsets of the unit square
Topological entropy for closed subsets of the unit square // 25 years of Topology seminar in Split - Scientific meeting
Split, Hrvatska, 2018. str. 12-12 (predavanje, podatak o recenziji nije dostupan, sažetak, znanstveni)
CROSBI ID: 1106154 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Topological entropy for closed subsets of the unit square
Autori
Erceg, Goran ; Kennedy, Judy
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
25 years of Topology seminar in Split - Scientific meeting
/ - , 2018, 12-12
Skup
25 years of Topology seminar in Split: Scientific meeting
Mjesto i datum
Split, Hrvatska, 08.06.2018. - 09.06.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
Generalized inverse limit ; Topological entropy ; Invariant Cantor set ; Subshift of finite type ; Mahavier product
Sažetak
We generalize the de finition of topological entropy due to Adler, Konheim, and McAndrew to set-valued functions from a closed subset of the interval to closed subsets of the interval. We view these set-valued functions, via their graphs, as closed subsets of [0, 1]^2. We compute topological entropy for various examples and finally give an example of a closed subset of the square with 0 entropy, but if any other point of the square is added, the new set has infi nite entropy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
