The Veech structure theorem

Ellis, Robert

doi:10.1090/S0002-9947-1973-0350712-1

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

The Veech structure theorem
HTML articles powered by AMS MathViewer

by Robert Ellis PDF

Trans. Amer. Math. Soc. 186 (1973), 203-218 Request permission

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.

References

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 10.2307/2373504