Geschke, Stefan A note on minimal dynamical systems. (English) Zbl 1065.37008 Acta Univ. Carol., Math. Phys. 45, No. 2, 35-43 (2004). Summary: Let \(G\) be a topological group acting continuously on an infinite compact space \(X\). Suppose the dynamical system \((X,G)\) is minimal, i.e., suppose that every point in \(X\) has a dense \(G\)-orbit. We show that \(X\) is coabsolute with a Cantor space if \(G\) is \(\omega\)-bounded. This generalizes a theorem of B. Balcar and A. Blaszcyk [Commentat. Math. Univ. Carol. 31, 7–11 (1990; Zbl 0697.54021)]. Cited in 1 ReviewCited in 1 Document MSC: 37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) 54H20 Topological dynamics (MSC2010) Keywords:absolute; Cantor space; Cohen algebra Citations:Zbl 0697.54021 PDFBibTeX XMLCite \textit{S. Geschke}, Acta Univ. Carol., Math. Phys. 45, No. 2, 35--43 (2004; Zbl 1065.37008) Full Text: EuDML