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References
J. Bochnak and T.-C. Kuo, Different realisations of a non-sufficient jet, Indag. Math. 34 (1972), pp. 24–31.
J. Bochnak and S. Lojasiewicz, A converse of the Kuiper-Kuo theorem, Proceedings of Liverpool Singularities Symposium I, Lecture Notes in Mathematics 192, Springer, Berlin (1971), pp.254–261.
J. W. Bruce, A stratification of the space of cubic surfaces, Math. Proc. Camb. Phil. Soc. 87 (1980), pp.427–441.
J. W. Bruce, On the canonical stratification of complex analytic functions, Bull. London Math. Soc. 12 (1980), pp.111–114.
J. W. Bruce and P. J. Giblin, A stratification of the space of plane quartic curves, Proc. London Math. Soc., to appear.
A. A. du Plessis, On the genericity of topologically finitely-determined map-germs, Aarhus preprint (1980), to appear.
C. G. Gibson, K. Wirthmüller, A. A. du Plessis and E. J. N. Looijenga, Topological stability of smooth mappings, Lecture Notes in Mathematics 552, Springer, Berlin (1976).
S. Koike and W. Kucharz, Sur les réalisations de jets non-suffisants, C. R. Acad. Sci. Paris, Série A, 288 (1979), pp.457–459.
T.-C. Kuo, On Thom-Whitney stratification theory, Math. Annalen 234 (1978), pp.97–107.
T.-C. Kuo and Y.-C. Lu, Sufficiency of jets via stratification theory, Inventiones Math. 57 (1980), pp.219–226.
R. Thom, Local topological properties of differentiable mappings, Differential analysis, Oxford Univ. Press, London (1964), pp.191–202.
D. J. A. Trotman, A transversality property weaker than Whitney (a)-regularity, Bull. London Math. Soc. 8 (1976), pp.225–228.
D. J. A. Trotman, Whitney stratifications: faults and detectors, Warwick Thesis (1977), 93 pages.
D. J. A. Trotman, Interprétations topologiques des conditions de Whitney, Journées singulières de Dijon, Astérisque 59-60 (1979), pp.233–248.
D. J. A. Trotman, Stability of transversality to a stratification implies Whitney (a)-regularity, Inventiones Math. 50 (1979), pp.273–277.
D. J. A. Trotman, Transverse transversals and homeomorphic transversals, to appear.
A. N. Varchenko, Local topological properties of analytic mappings, Math. USSR-Izv. 7 (1973), pp. 883–917.
A. N. Varchenko, Local topological properties of differentiable mappings, Math. USSR-Izv. 8 (1974), pp. 1033–1082.
K. Wirthmüller, Universell Topologische Triviale Deformationen, Dissertation Regensburg.
H. Whitney, Local properties of analytic varieties, Diff. and Comb. Topology (ed. S. Cairns), Princeton (1965), pp.205–244.
H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965), pp.496–549.
S. Koike, On V-sufficiency and (\(\bar h\))-regularity, Kyoto Univ. preprint (1980), 20 pages.
J. Mather, Problem section, Manifolds, Amsterdam 1970, Lecture Notes in Math. 197, Springer, Berlin (1971).
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Trotman, D. (1982). Regular stratifications and sufficiency of jets. In: Aroca, J.M., Buchweitz, R., Giusti, M., Merle, M. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071292
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DOI: https://doi.org/10.1007/BFb0071292
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