Let G be a topological group acting continuously on an infinite compact space X. Suppose the dynamical system (X, G) is minimal. If G is kappa-bounded for some infinite cardinal kappa, then the cellularity of X is at most kappa.
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Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, RussiaMoscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia
Gurevich, B. M.
Tempelman, A. A.
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Penn State Univ, Dept Math, University Pk, PA 16802 USA
Penn State Univ, Dept Stat, University Pk, PA 16802 USAMoscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia