Recurrence and almost periodicity in a generative transformation group
Abstract: A point p in a transformation group (X, T, II) is recurrent if for every neighborhood U of p there is an extensive set such that . The point p is almost periodic if there is a syndetic set such that . This paper proves that a recurrent point in a locally compact, generative transformation group with an equicontinuous neighborhood must also be almost periodic.
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Keywords: Transformation group, generative, recurrent, almost periodic, equicontinuous
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