Calculs de groupes d'homotopie stables de la sphère, par la suite spectrale d'Adams-Novikov

Mathematische Zeitschrift - Tập 185 - Trang 45-91 - 1984
Marc Aubry1
1L.A.no168, Nice Cedex, France

Tài liệu tham khảo

Adams, J.F.: On the structure and applications of the Steenrod algebra. Comment. Math. Helv.32, 180–214 (1958)

Adams, J.F.: Lectures on generalized cohomology. Lecture Notes in Math.99. Berlin-Heidelberg-New York: Springer 1969

Adams, J.F.: Quillen's work in formal group laws and complex cobordism. University of Chicago Lecture Notes series 1970

Adams, J.F.:Stable homotopy and generalized homology. University of Chicago Lecture Notes series 1971

Hartshone, R.: Residues and Duality. Lecture Notes in Math.20. Berlin-Heidelberg-New York: Springer 1966

Hazewinkel, M.: Constructing formal groups I. Over Z(p)-algebras. Report of the Econometric Institute7119. Netherlands School of Economics 1971

Landweber, P.S.: Associated prime ideals and Hopf algebras. J. Pure Appl. Alg.3, 43–58 (1973)

Lawrence, A.: Matric Massey products and matric Toda brackets in the Adams spectral sequence. Thesis Chicago 1969.

Liulevicius, A.: The factorization of cyclic reduced powers by secondary cohomology operations. Mem. Amer. Math. Soc.42, Providence: Amer. Math. Soc. 1962

May, J.P.:The cohomology of restricted Lie algebras and Hopf algebras; application to the Steenrod algebra. Thesis Princeton Univ. 1964

May, J.P.: Matric Massey products. J. Algebra12, 533–568 (1969)

Miller, H.R.: Some algebraic aspects of the Adams-Novikov spectral sequence. Thesis Princeton Univ. 1974

Milnor, J.: On the cobordism ringΩ * and a complex analogue, Part I. Amer. J. Math.82, 505–521 (1960)

Moss, M.F.: Secondary compositions and the Adams spectral sequence. Math. Z.115, 283–310 (1970)

Nakamura, O.: On the cohomology of the modp Steenrod algebra. Bull. Sci. Engrg. Div. Univ. Ryukyus Math. Natur. Sci.18, 9–58 (1975)

Nakamura, O., Oka, S.: Some differentials in the modp Adams spectral sequence (p≧5). Hiroshima Math. J.6, 305–330 (1976)

Nakamura, O., Oka, S.: Corrections to “some differentials in the modp Adams spectral sequence” Hiroshima Math. J.7, 655–656 (1977)

Neisendorfer, J.A.: Homotopy theory modulo an odd prime. Thesis Princeton Univ. 1972

Novikov, S.P.: The methods of algebraic topology from the view-point of cobordism theory. Math. USSR Izv.1, 827–913 (1967)

Oka, S.: The stable homotopy groups of spheres I. Hiroshima Math. J.1, 305–337 (1971)

Oka, S.: The stable homotopy groups of spheres II. Hiroshima Math. J.2, 99–161 (1972)

Oka, S.: The stable homotopy groups of spheres III. Hiroshima Math. J.5, 407–438 (1975)

Oka, S., Toda, H.: Non-triviality of an element in the stable homotopy groups of spheres. Hiroshima Math. J.5, 115–125 (1975)

Quillen, D.G.: On the formal group laws of unoriented and complex cobordism theory. Bull. Amer. Math. Soc.75, 1293–1298 (1969)

Ravenel, D.C.: A novice's guide to the Adams-Novikov spectral sequence. Lecture Notes in Math.658, pp.404–475. Berlin-Heidelberg-New York: Springer 1978

Tangora, M.C.: On the cohomology of the Steenrod algebra. Math. Z.116, 18–64 (1970)

Thomas, E., Zahler, R.S.: Generalised higher order cohomology and stable homotopy groups of spheres. Adv. Math.20, 287–328 (1976)

Toda, H.:p-primary components of homotopy groups I, II, II, IV Mem. Coll. Sci. Univ. Kyoto Ser A Math.31, 129–142, 143–160, 191–201 (1958);32, 288–332 (1959)

Toda, H.: Composition methods in homotopy groups of spheres. Ann. of Math. Studies49. Princeton: Princeton Univ. Press 1962

Toda, H.: Extendedp-th powers of complexes and applications to homotopy theory. Proc. Japan Acad.44, 198–203 (1968)

Toda, H.: Algebra of stable homotopy of Z p -spaces and applications. J. Math. Kyoto Univ.11, 197–251 (1971)

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Mathematische Zeitschrift

Tập 185

45-91

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