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Geometric versions of Whitney regularity

Published online by Cambridge University Press:  24 October 2008

D. J. A. Trotman
D. J. A. Trotman
Affiliation:
University of Warwick, Coventry
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Extract

Let Xm and Yn be C1 manifolds embedded in , m < n < p, and let . In (4) C. T. C. Wall considered the following conditions:

(as) For any local C1 retraction at x, π: , x has a neighbourhood U such that is a submersion.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 99 - 101
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Lojasiewicz, S.Ensembles semianalytiques (I.H.E.S. notes, 1965).Google Scholar
(2)Mather, J. N.Notes on topological stability (Harvard notes, 1970).Google Scholar
(3)Trotman, D. J. A.A transversality property weaker than Whitney (a)-regularity. Bull. London Math. Soc. (to appear).Google Scholar
(4)Walt, C. T. C. Regular stratifications. Dynamical Systems-Warwick 1974 (Springer Lecture Notes 468 (1975), Berlin), 332–344.Google Scholar