Note on Toda brackets
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Từ khóa
Tài liệu tham khảo
Adams, J.F.: On the non-existence of elements of Hopf invariant one. Ann. Math. (2) 72, 20–104 (1960)
Basu, S., Blanc, D., Sen, D.: The higher structure of unstable homotopy groups. Preprint (2020)
Baues, H.-J., Blanc, D.: Higher order derived functors and the Adams spectral sequence. J. Pure Appl. Algebra 219, 199–239 (2015)
Baues, H.-J., Blanc, D., Gondhali, S.: Higher Toda brackets and Massey products. J. Homotopy Relat. Struct. 11, 643–677 (2016)
Blanc, D., Dwyer, W.G., Goerss, P.G.: The realization space of a $$\Pi $$-algebra: a moduli problem in algebraic topology. Topology 43, 857–892 (2004)
Blanc, D., Johnson, M.W., Turner, J.M.: Higher homotopy operations and cohomology. J. K Theory 5, 167–200 (2010)
Blanc, D., Johnson, M.W., Turner, J.M.: Higher homotopy operations and André–Quillen cohomology. Adv. Math. 230, 777–817 (2012)
Blanc, D., Johnson, M.W., Turner, J.M.: A constructive approach to higher homotopy operations. In: Davis, D.G., Henn, H.-W., Jardine, J.F., Johnson, M.W., Rezk, C. (eds.) Homotopy Theory: Tools and Applications, Contemporary, Mathematics, vol. 729, pp. 21–74. AMS, Providence (2019)
Blanc, D., Sen, D.: Higher cohomology operations and $$R$$-completion. Algebraic Geom. Topol. 18, 247–312 (2018)
Christensen, J.D., Frankland, M.: Higher Toda brackets and the Adams spectral sequence in triangulated categories. Algebraic Geom. Topol. 17, 2687–2735 (2017)
Hirschhorn, P.S.: Model Categories and their Localizations, Mathematical Surveys and Monographs, vol. 99. AMS, Providence (2002)
Hovey, M.A.: Model Categories, Mathematical Surveys and Monographs, vol. 63. AMS, Providence (1998)
Hovey, M.A., Palmieri, J.H., Strickland, N.P.: Axiomatic Stable Homotopy Theory, Memoirs, vol. 128. AMS, Providence (1997)
Ōshima, H., Ōshima, K.: Unstable higher Toda brackets. Math. J. Okayama U. 62, 27–86 (2020)
Spanier, E.H.: Secondary operations on mappings and cohomology. Ann. Math. (2) 75(2), 260–282 (1962)
Toda, H.: Generalized Whitehead products and homotopy groups of spheres. J. Inst. Polytech. Osaka City Univ. Ser. A Math. 3, 43–82 (1952)
Toda, H.: Composition Methods in the Homotopy Groups of Spheres, Advance in Mathematical Study, vol. 49. Princeton University Press, Princeton (1962)
Walker, G.: Long Toda brackets. In: Proceedings of Advanced Studies Institute on Algebraic Topology, volume III, Aarhus U. Mat. Inst. Various Publ. Ser. vol. 13, pp. 612-631. Aarhus (1970)
