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Une application du calcul "umbral" non classique en topologie algebrique

  • Lamrini, Fayrçal [1]
    1. [1] Universit Sidi Mohammed Benabdallah.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 15, Nº. 2, 1996, págs. 153-168
  • Idioma: español
  • DOI: 10.22199/S07160917.1996.0002.00004
  • Enlaces
  • Resumen
    • En utilisant les techniques du calcul "umbral" non classiques défini par le bigroupe formel élémentaire du 1er type (b.f. e. 1) sur E*(pt)ⓍQ, on calcule l'image de E*(HPꝏ ) par l'homomorphisme d 'Hurewicz  E ⟶ E  ʌ  HQ, o E est un spectre-anneau dfinissant une thorif cohomologique C-orientée spéciale.

  • Referencias bibliográficas
    • Citas [1] V.M. BUKHSHTABER, Characteristic cobordism classes and topological application of the theory of one valued and two valued formal...
    • [2] V.M. BUKHSHTABER and P.S. NOVIKOV, Formal groups, power systems, and Adams operators. Mat.Sb. 84 (126), pp. 81 - 118; English transl.in...
    • [3] A.FROHLICH, Formal groups. Lecture Notes in Mathematics, 74, Springer-Verlag, (1968).
    • [4] A.N.KHOLODOV, The umbral calculus on multivalued formal groups, and Adams projections in K-theory. Math.USSR Sbornik,Vol. 65, No. 2 (...
    • [5] P.S.LANDWEBER, Elliptic cohomology and modular forms. Lecture Notes in Mathematics, 1326, Springer-Verlag.
    • [6] N.RAY, Extensions of umbral calculus : pneumbral coalgebras and generalised Bernoulli numbers. Advances in Math. 61, pp. 49- 100 (1986).
    • [7] N.RAY, 'Symbolic calculus : A 19th century approch to MU and BP', in 'Homotopy theory'. J. D. S. Jones & E. Rees (eds),...
    • [8] S.ROMAN and G-C. ROTA, The umbral calculus. Advances in Math. 27, pp. 95- 188 (1978).
    • [9] R.E.STONG, Notes on cobordism theory. Princeton University Press, N.J., and Univ.Tokyo Press,Tokyo,(1968},
    • [10] R.M.SWITZER, Algebraic topology-homotopy and homology. Springer-Verlag, (1975).

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