Let C (I) be the set of all continuous self-maps on I=[0, 1] with the topology of uniformly
convergence. A map f∈ C (I) is called transitive if for every pair of non-empty open sets U, V …

Abstract For a∈0,+∞), the function space E_≧a (E_>a; E_≦a; E_<a) of all continuous
maps from 0,1 to itself whose topological entropies are larger than or equal to a (larger than …

The aim of this paper is to give an axiomatic definition of the topological entropy for
continuous interval maps and, in such a way, to shed some more light on the importance of …

We show that if f is a C 1 (continuously differentiable) map from the unit interval I into itself, of
type 2∞ in the Sarkovskii order, then there are C 1 maps g, h: I→ I, of respective types …

V tejto práci sa zaoberáme predovšetkým Šarkovského vetou. Na úvod definujeme základné
pojmy z teórie diskrétnych dynamických systémov a následne podáme dôkaz Šarkovského …

The aim of this paper is to give an axiomatic definition of the topological entropy for
continuous interval maps and, in such a way, to shed some more light on the importance of …