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II Singularities of mappings

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Part of the Lecture Notes in Mathematics book series (LNM,volume 192)

Keywords

  • Tangent Space
  • Countable Union
  • Baire Space
  • Coordinate Neighbourhood
  • Critical Manifold

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References

  1. Bourbaki, N. Topologie Générale, Chapter IX, §5, p.75.

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  2. Morse, A.P. The behaviour of a function on its critical set, Ann. of Math. 40 (1939) pp. 62–70.

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  3. Sard, A. Images of critical sets, Ann. of Math. 68 (1958) pp.247–259.

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  4. Steenrod, N. Topology of Fibre Bundles, p.27.

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  5. Thom, R. Un lemme sur les applications differentiables, Bol. Soc. Mat. Mexicana, (1956) pp. 59–71.

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  6. Whitney, H. On singularities of mappings of Euclidean spaces, I, mappings of the plane into the plane, Ann. of Math. 62 (1955) pp. 374–410.

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  7. Whitney, H. Singularities of mappings of Euclidean Spaces, Sym. Int. de Top. Alg. Mexico (1958) pp. 285–301.

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© 1971 Springer-Verlag

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Wall, C. (1971). II Singularities of mappings. In: Wall, C. (eds) Proceedings of Liverpool Singularities — Symposium I. Lecture Notes in Mathematics, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066811

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  • DOI: https://doi.org/10.1007/BFb0066811

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05402-3

  • Online ISBN: 978-3-540-36531-0

  • eBook Packages: Springer Book Archive