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Annali di Matematica Pura ed Applicata

, Volume 117, Issue 1, pp 207–226 | Cite as

Cobordism characteristic classes

  • Maria Dedò
Article
  • 22 Downloads

Keywords

Characteristic Classis 
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Sunto.

Viene generalizzata al caso di varietà PL la nota costruzione dei cicli rappresentativi delle classi caratteristiche di una varietà differenziabile come autointersezioni del fibrato tangente proiettificato. Tale generalizzazione che conduce a classi caratteristiche valide sia in coomologia che in cobordismo, si basa su una costruzione geometrica dei quadrati di Steenrod.

References

  1. [1]
    I. Bucur -Al. Lascu,Les classes de Segre d'une variété différentiable, Rev. Math. Pures Appl.,4 (1959), pp. 661–664.MathSciNetzbMATHGoogle Scholar
  2. [2]
    S. Buoncristiano - C. P. Rourke - B. J. Sanderson,A geometric approach to homology theory, Cambridge University Press.Google Scholar
  3. [3]
    R. Macpherson,Generic vector bundle maps, Dynamical systems (Proc. Sympos. Univ. of Bahia, Salvador, 1971), Academic Press, New York, 1973, pp. 165–175.Google Scholar
  4. [4]
    C. McCrory,Cobordism operations and singularities of maps, Bull. of Amer. Math. Soc.,82 (1976), pp. 281–283.zbMATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    J. W. Milnor - J. D. Stasheff,Characteristic classes, Ann. of Math. Studies, no. 76, Princeton University Press, 1974.Google Scholar
  6. [6]
    I. R. Porteous,Simple singularities of maps, Proc. Liverpool Singularities Sympos., I (1969–70), Lecture Notes in Math., vol.192, Springer-Verlag, Berlin and New York, 1971, pp. 286–307.Google Scholar
  7. [7]
    C. P. Rourke -B. J. Sanderson,Block bundles I, Ann. of Math.,87 (1968), pp. 1–28.CrossRefMathSciNetGoogle Scholar
  8. [8]
    C. P. Rourke -B. J. Sanderson,Block bundles II, Ann. of Math.,87 (1968), pp. 256–278.CrossRefMathSciNetGoogle Scholar
  9. [9]
    R. Thom,Les singularités des applications différentiables, Ann. Inst. Fourier,6 (1955–56), pp. 43–87.MathSciNetGoogle Scholar

Copyright information

© Nicola Zanichelli Editore 1978

Authors and Affiliations

  • Maria Dedò
    • 1
  1. 1.Pisa

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