5 papers · 1 filter
Specification property for step skew products
Ľubomír Snoha
Step skew products with interval fibres and a subshift as a base are considered. It is proved that if the fibre maps are continuous, piecewise monotone, expanding and surjective an…
Generic chaos on dendrites
Ľubomír Snoha, Vladimír Špitalský, Michal Takács
We characterize dendrites such that a continuous selfmap of is generically chaotic (in the sense of Lasota) if and only if it is generically -chaotic for some…
Minimal direct products
Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský
A space is called minimal if it admits a minimal continuous selfmap. We give examples of metrizable continua admitting both minimal homeomorphisms and minimal noninvertible map…
Topology and Topological Sequence Entropy
Ľubomír Snoha, Xiangdong Ye, Ruifeng Zhang
Let be a compact metric space and be continuous. Let be the supremum of topological sequence entropies of over all subsequences of $\mathbb…
Minimal spaces with cyclic group of homeomorphisms
Tomasz Downarowicz, L'ubomir Snoha, Dariusz Tywoniuk
There are two main subjects in this paper. 1) For a topological dynamical system we study the topological entropy of its "functional envelopes" (the action of by left c…