The Veech structure theorem
Author: Robert Ellis
Journal: Trans. Amer. Math. Soc. 186 (1973), 203-218
MSC: Primary 54H20
MathSciNet review: 0350712
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Abstract: The main result is the proof of the Veech structure theorem for point-distal flows without the assumption that the distal points form a residual set. This allows one to conclude that, in the case of metrizable flows, if there is one distal point then there is a residual set of such points.
- I. U. Bronšteĭn, A theorem on the structure of almost distal expansions of minimal sets., Mat. Issled. 6 (1971), no. vyp. 2 (20), 22–32, 157 (Russian). MR 0290348
- Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
- William A. Veech, Point-distal flows, Amer. J. Math. 92 (1970), 205–242. MR 267560, DOI https://doi.org/10.2307/2373504
I. Bronšteǐn, A theorem on the structure of almost distal expansions of minimal sets, Math. Issled. 6 (1971), vyp. 2 (20), 22-32, 157. (Russian) MR 44 #7532.
R. Ellis, Lectures on topological dynamics, Benjamin, New York, 1969. MR 42 #2463.
W. A. Veech, Point-distal flows, Amer. J. Math. 92 (1970), 205-242. MR 42 #2462.
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Keywords: Distal, proximal, point-distal extension, almost automorphic, regionally proximal, equicontinuous structure relation
Article copyright: © Copyright 1973 American Mathematical Society