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Some properties of wild orbits of infinite-dimensional transformation groups

Published online by Cambridge University Press:  24 October 2008

R. J. Magnus
R. J. Magnus
Affiliation:
University of Iceland, Reykjavik
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Extract

A wild orbit is an orbit of a transformation group which has the property that its dimension appears to increase in a paradoxical way. The existence of such orbits was noted in a previous paper (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 3 , November 1982 , pp. 429 - 435
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

(1)Magnus, R. J. Infinite-dimensional group actions and similarity of quadratic forms on a Hilbert space (Technical report, Science Institute, Univ. of Iceland 1981.) To appear in Proc. London Math. Soc.Google Scholar
(2)Stefan, P. Accessibility and singular foliations (Thesis, Univ. of Warwick, 1973.)Google Scholar
(3)Chillingworth, D. R. J. and Stefan, P.Integrability of singular distributions on Banach manifolds. Math. Proc. Cambridge Philos. Soc. 79 (1976), 117–128.Google Scholar