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@article{MZM_2008_84_5_a11, author = {V. A. Smirnov}, title = {Bott's {Periodicity} {Theorem} and {Differentials} of the {Adams} {Spectral} {Sequence} of {Homotopy} {Groups} of {Spheres}}, journal = {Matemati\v{c}eskie zametki}, pages = {763--771}, publisher = {mathdoc}, volume = {84}, number = {5}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/} }
TY - JOUR AU - V. A. Smirnov TI - Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres JO - Matematičeskie zametki PY - 2008 SP - 763 EP - 771 VL - 84 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/ LA - ru ID - MZM_2008_84_5_a11 ER -
V. A. Smirnov. Bott's Periodicity Theorem and Differentials of the Adams Spectral Sequence of Homotopy Groups of Spheres. Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 763-771. http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a11/
[1] J. F. Adams, “On the structure and applications of the Steenrod algebra”, Comment. Math. Helv., 32:1 (1958), 180–214 | DOI | MR | Zbl
[2] W. S. Massey, F. P. Peterson, The mod 2 Cohomology Structure of Certain Fibre Spaces, Mem. Amer. Math. Soc., 74, Amer. Math. Soc., Providence, RI, 1967 | MR | Zbl
[3] A. K. Bousfield, D. M. Kan, “The homotopy spectral sequence of a space with coefficients in a ring”, Topology, 11:1 (1972), 79–106 | DOI | MR
[4] Dzh. Uaitkhed, Noveishie dostizheniya v teorii gomotopii, Mir, M., 1974 | MR | Zbl
[5] R. Mosher, M. Tangora, Kogomologicheskie operatsii i ikh prilozheniya v teorii gomotopii, Mir, M., 1970 | MR | Zbl
[6] V. A. Smirnov, Simplicial and Operad Methods in Algebraic Topology, Transl. Math. Monogr., 198, Amer. Math. Soc., Providence, RI, 2001 | MR | Zbl
[7] V. A. Smirnov, “$A_\infty$-struktura i differentsialy spektralnoi posledovatelnosti Adamsa”, Izv. RAN. Ser. matem., 66:5 (2002), 193–224 | MR | Zbl
[8] V. A. Smirnov, “Vtorichnye operatsii Stinroda na kogomologiyakh beskonechnomernykh proektivnykh prostranstv”, Matem. zametki, 79:3 (2006), 476–480 | MR | Zbl
[9] R. Bott, “The stable homotopy for the classical groups”, Ann. of Math. (2), 70:2 (1959), 313–337 | DOI | MR | Zbl
[10] R. M. Svittser, Algebraicheskaya topologiya – gomotopii i gomologii, Nauka, M., 1985 | MR | Zbl
[11] V. K. A. M. Gugenheim, L. A. Lambe, J. D. Stasheff, “Perturbation theory in differential homological algebra. II”, Illinois J. Math., 35:3 (1991), 357–373 | MR | Zbl
[12] E. Dyer, R. Lashof, “Homology of iterated loop spaces”, Amer. J. Math., 84:1 (1962), 35–88 | DOI | MR | Zbl