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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0350712-1
PII: S 0002-9947(1973)0350712-1
Keywords: Distal, proximal, point-distal extension, almost automorphic, regionally proximal, equicontinuous structure relation
Article copyright: © Copyright 1973 American Mathematical Society