Shadowing for induced maps of hyperspaces
Tom 235 / 2016
Fundamenta Mathematicae 235 (2016), 277-286
MSC: Primary 37B99, 37C50, 54B20, 54H20.
DOI: 10.4064/fm136-2-2016
Opublikowany online: 4 July 2016
Streszczenie
Given a nonempty compact metric space and a continuous function f:X \to X, we study shadowing and h-shadowing for the induced maps on hyperspaces, particularly in symmetric products, F_{n}(X), and the hyperspace 2^{X} of compact subsets of X. We prove that f has shadowing [h-shadowing] if and only if 2^{f} has shadowing [h-shadowing].
