We introduce a new class of locally compact groups, namely the strongly compactly covered
groups, which are the Hausdorff topological groups G such that every element of G is …

We introduce a new class of locally compact groups, namely the strongly compactly covered
groups, which are the Hausdorff topological groups G such that every element of G is …

We study the locally compact abelian groups in the class, that is, having only continuous
endomorphisms of finite topological entropy, and in its subclass, that is, having all …

Definition 2.1. A topological abelian group is a Hausdorff topological space G which is also
an abelian group, provided that the map (g, h)↦→ g− h is a continuous map from G× G …

We study the topological entropy h (f) of continuous endomorphisms f of compact-like
groups. More specifically, we consider the e-spectrum E top (K) for a compact-like group K …

We give a" limit-free formula" simplifying the computation of the topological entropy for
topological automorphisms of totally disconnected locally compact groups. This result allows …

We say that the completion theorem holds for a uniform space (X, U)(X, U) if, for every
uniformly continuous function α:(X, U) → (X, U) α:(X, U)→(X, U), the Bowen entropy of α α …

For a totally disconnected locally compact abelian group, we prove that the topological
entropy of a continuous endomorphism coincides with the algebraic entropy of the dual …

The notion of entropy appears in many fields and this paper is a survey about entropies in
several branches of Mathematics. We are mainly concerned with the topological and the …

We introduce a notion of topological entropy for continuous actions of compactly generated
topological groups on compact Hausdorff spaces. It is shown that any continuous action of a …