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On equicontinuous transformation groups

  • Saber Elaydi (a1)

Abstract

It is shown that, under certain conditions, a transformation group is pointwise equicontinuous if and only if it is P-equicontinuous for some replete semigroup P in the phase group.

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Copyright

References

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[1]Baum, John D., “An equicontinuity condition in topological dynamics”, Proc. Amer. Math. Soc. 12 (1961), 3032.
[2]Coven, Ethan M., “P-recursion and transformation groups having an equicontinuous replete semigroup”, Math. Systems Theory 3 (1969), 170178.
[3]Gottschalk, Walter Helbig and Hedlund, Gustav Arnold, Topological dynamics (American Mathematical Society Colloquium Publication, 36. Amermican Mathematical Society, Providence, Rhode Island, 1955).
[4]Hajek, Otomar, “Prolongations in topological dynamics”, Seminar on differential equations and dynamical systems, II, 7989 (Seminar Lectures, University of Maryland, 1969. Lecture Notes in Mathematics, 144. Springer-Verlag, Berlin, Heidelberg, New York, 1970).
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