Bibliographie
R. Bott andH. Samelson, On the Pontryagin product in spaces of paths, Comment. Math. Helv. 27 (1953) 320–337.
H. Cartan, Sur les groupes d’Eilenberg-Maclane I, Proc. Nat. Acad. Sci. U.S.A. 40 (1954) 467–471.
P. J. Hilton, On the homotopy groups of the union of spaces, Comment. Math. Helv. 29 (1955) 59–92.
I. M. James, On reduced product spaces, Ann. Math. 62 (1955) 170–197.
J. C. Moore, On the homotopy groups of spaces with a single non-vanishing homology group, Ann. Math. 59 (1954) 549–557.
J. C. Moore’s isomorphism theorem for spectral sequences, Seminaire H. Cartan, E. N. S. 1954–1955, Exposé 3.
M. Nakaoka and H. Toda, On Jacobiidentity for Whitehead products, J. Inst. Polytech., Osaka City Univ., Ser. A (1954) 1–13.
H. Samelson, On the relation between the Whitehead and Pontryagin product, Amer. J. Math. 75 (1953) 744–752.
H. Toda, On standard path spaces and homotopy theory I, Proc. Japan Acad. 29 (1953) 299–304.
Rights and permissions
About this article
Cite this article
Adams, J.F., Hilton, P.J. On the chain algebra of a loop space. Commentarii Mathematici Helvetici 30, 305–330 (1956). https://doi.org/10.1007/BF02564350
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02564350