Bouziad, A. Examples of not continuous actions of a group in a compact space. (Exemples d’actions non continues d’un groupe dans un compact.) (French) Zbl 0794.22002 Semigroup Forum 48, No. 1, 127-128 (1994). The object of this note is to present examples of a topological group \(G\) on a Baire space acting on a compact space in such a way that the action is separately, but not jointly, continuous. Under slightly stronger hypotheses on \(G\) the answer was known to be positive and it was an open question whether \(G\) being a Baire space sufficed. These examples provide a negative solution. Reviewer: J.D.Lawson (Baton Rouge) Cited in 1 Document MSC: 22A15 Structure of topological semigroups 54H15 Transformation groups and semigroups (topological aspects) 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54G20 Counterexamples in general topology Keywords:separate continuity; topological group; Baire space; compact space PDFBibTeX XMLCite \textit{A. Bouziad}, Semigroup Forum 48, No. 1, 127--128 (1994; Zbl 0794.22002) Full Text: DOI EuDML References: [1] Lawson, J. D.,Additional notes on continuity in semitopological subsemigroup, Semigroup Forum12 (1976), 265–280. · Zbl 0327.22003 · doi:10.1007/BF02195932 [2] Ruppert, W.,Compact Semitopoligical Semigroups: An Intrinsic Theory, Lecture Notes in Math.1079, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo (1984). · Zbl 0606.22001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.