Literatur
Adams, J. F.: On the nonexistence of elements of Hopf-invariant one. Ann. Math.72, 20–104 (1960).
—— Vector fields on spheres. Ann. Math.75, 603–632 (1962).
Barratt, M. G., andP. J. Hilton: On join operations in homotopy groups. Proc. London Math. Soc.3, 430–445 (1953).
Freudenthal, H.: Über die Klassen der Sphärenabbildungen. Compositio Math.5, 299–314 (1937).
Hilton, P. J.: On the Hopfinvariant of a composition element. J. London Math. Soc.29, 165–171 (1954).
—— Suspension theorems and the generalized Hopfinvariant. Proc. London Math. Soc.1, 462–493 (1951).
—— A note on theP-homomorphism in homotopy groups of spheres. Proc. Cambridge Phil. Soc.51, 230–233 (1955).
——, andJ. H. C. Whitehead: Note on the Whitehead-product. Ann. Math.58, 429–441 (1953).
James, I. M.: On the iterated suspension. Quart. J. Math. Oxford5, 1–10 (1954).
—— Whitehead products and vector fields on spheres. Proc. Cambridge Phil. Soc.53, 817–820 (1957).
—— On the suspension sequence. Ann. Math.65, 74–107 (1957).
Kervaire, M. A.: Differentiable structures on spheres and homotopy. Proc. Intern. Congress of Math., Stockholm, 1962.
——, andJ. W. Milnor: Groups of homotopy spheres. Ann. Math.77, 504–537 (1963).
Mahowald, M. E.: Some Whitehead products inS n. Notices Am. Math. Soc.11, 306 (1964).
Paechter, G. F.: On the groupsII r (V n, m ), I–V. Quart. J. Math. Oxford7, 249–268 (1956);9, 8–27 (1958);10, 17–37 (1959);10, 241–260 (1959);11, 1–16 (1960).
Saalschütz, L.: Vorlesungen über die Bernoullischen Zahlen. Berlin: Springer 1893.
Serre, J. P.: Groupes d'homotopie et classes de groupes abéliens. Ann. Math.58, 258–294 (1953).
Smale, S.: On the structure of manifolds. Am. J. Math.84, 387–399 (1962).
Thomeier, S.: Über eine Beziehung zwischen unstabilen und stabilen Homotopiegruppen von Sphären. Arch. Math.15, 351–353 (1964).
Toda, H.:p-primary components of homotopy groups III. Mem. Coll. Sci. Kyoto, Ser. A31, 191–210 (1958).
—— Composition Methods in Homotopy Groups of Spheres. Ann. Math. Studies No. 49. Princeton: University Press 1963.
Whitehead, G. W.: On products in homotopy groups. Ann. Math.47, 461–475 (1946).
—— A generalisation of the Hopf invariant. Ann. Math.51, 192–237 (1950).
—— On the Freudenthal theorems. Ann Math.57, 209–228 (1953).
Author information
Authors and Affiliations
Additional information
Herrn Professor Dr. G.Köthe anläßlich seines 60. Geburtstags am 25. Dezember 1965 gewidmet
Rights and permissions
About this article
Cite this article
Thomeier, S. Einige Ergebnisse über Homotopiegruppen von Sphären. Math. Ann. 164, 225–250 (1966). https://doi.org/10.1007/BF01360248
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01360248