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Stratifying jet spaces – some special cases

Published online by Cambridge University Press:  24 October 2008

J. W. Bruce
Affiliation:
University of Liverpool

Extract

Here we consider the problem of Whitney stratifying some very simple jet spaces. This type of problem has also been considered by Lander, Bedford and Gibson, (see (7), (1), (2)). Following Bedford and Gibson, we shall consider complex jet spaces.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

(1)Bedford, J. O. Liverpool Ph.D. thesis (1978).Google Scholar
(2)Bedford, J. O. and Gibson, C. G.On stratifying 3 jets of functions. Proc. Cambridge Philos. Soc. 82 (1977), 389400.CrossRefGoogle Scholar
(3)Bruce, J. W. Liverpool Ph.D. thesis (1978).Google Scholar
(4)Gibson, C. G.Regularity of the Segre stratification. Math. Proc. Cambridge Philos. Soc. 80, (1976), 9197.CrossRefGoogle Scholar
(5)Gibson, C. G., Wirthmuller, K., du Plessis, A. A. and Looijenga, E. J. N.Topological stability of smooth mappings (Springer Lecture Notes in Maths, no. 552, 1976).CrossRefGoogle Scholar
(6)Hodge, W. V. D. and Pedoe, D.Methods of algebraic geometry, vol. II (Cambridge University Press).Google Scholar
(7)Lander, L. C.Stratification by orbits, with an application to J 2(2, 2). J. London Math. Soc. 9, (1974), 443450.CrossRefGoogle Scholar
(8)Mather, J. N.Stability of C -mappings V ‘transversality’. Advances in Math. 4, (1970), 301336.CrossRefGoogle Scholar
(9)Milnor, J. W.Singular points of complex hypersurfaces, Ann. of Math. Studies 61 (1968)Google Scholar
(10)Wall, C. T. C. Regular stratifications. Dynamical systems, Warwick (Springer Lecture Notes in Maths. no. 468, 1974), pp. 332344.Google Scholar
(11)Wall, C. T. C.Nets of conics. Proc. Cambridge Philos. Soc. 81, (1977), 351364.CrossRefGoogle Scholar
(12)Walker, R. J.Algebraic curves (Dover, 1962).Google Scholar
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