Ma, Dongkui; Wu, Min Topological pressure and topological entropy of a semigroup of maps. (English) Zbl 1234.37011 Discrete Contin. Dyn. Syst. 31, No. 2, 545-556 (2011). Using the Caratheodory-Pesin structure with respect to an arbitrary subset, the topological pressure and topological entropy, introduced for a single continuous map, is generalized to the cases of a semigroup of continuous maps. Topological pressure and lower and upper capacity topological pressure of a semigroup of maps are defined and studied. The relation between two kinds of topological entropies of a semigroup of maps is studied and some properties are shown. Reviewer: Victor Sharapov (Volgograd) Cited in 1 ReviewCited in 29 Documents MSC: 37A35 Entropy and other invariants, isomorphism, classification in ergodic theory 37B40 Topological entropy Keywords:semigroup of continuous maps; Caratheodory-Pesin structure; topological pressure; topological entropy PDFBibTeX XMLCite \textit{D. Ma} and \textit{M. Wu}, Discrete Contin. Dyn. Syst. 31, No. 2, 545--556 (2011; Zbl 1234.37011) Full Text: DOI