Oddelek za matematiko in računalništvo
Fakulteta za naravoslovje in matematiko
Univerza v Mariboru
Oddelek za matematiko
Inštitut za matematiko, fiziko in mehaniko
V A B I L O
Seminar iz topologije svoje delo nadaljuje v ponedeljek, 22. 5. 2023, ob 16:30 uri v predavalnici P1.
Predaval bo: Domagoj Jelić
Naslov predavanja: ON RECURRENCE AND ENTROPY IN HYPERSPACE OF CONTINUA IN DIMENSION ONE
(Joint work with Piotr Oprocha)
“We show that if $G$ is a topological graph, and $f$ is continuous map, then the induced map $\tilde{f}$ acting on the hyperspace $C(G)$ of all connected subsets of $G$ by natural formula $\tilde{f}(C)=f(C)$ carries the same entropy as $f$. It is well known that this does not hold on the larger hyperspace of all compact subsets. Also negative examples were given for the hyperspace $C(X)$ on some continua $X$, including dendrites. Our work extends previous positive results obtained first for much simpler case of compact interval by completely different tools.”
Vljudno vabljeni!
Iztok Banič in Tina Sovič
