Hostname: page-component-8678677fb7-xsjpr Total loading time: 0 Render date: 2026-10-12T23:07:11.918Z Has data issue: false hasContentIssue false
  • English
  • Français

Stratifying jet spaces – some special cases

Published online by Cambridge University Press:  24 October 2008

J. W. Bruce
J. W. Bruce
Affiliation:
University of Liverpool
Get access Rights & Permissions [Opens in a new window]

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.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 3 , May 1979 , pp. 439 - 444
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

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), 389–400.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), 91–97.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), 443–450.CrossRefGoogle Scholar
(8)Mather, J. N.Stability of C∞ -mappings V ‘transversality’. Advances in Math. 4, (1970), 301–336.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. 332–344.Google Scholar
(11)Wall, C. T. C.Nets of conics. Proc. Cambridge Philos. Soc. 81, (1977), 351–364.CrossRefGoogle Scholar
(12)Walker, R. J.Algebraic curves (Dover, 1962).Google Scholar