References
Armand Borel, Impossibilité de fibrer une sphère par un produit de sphères, C. R. Acad. Sci. Paris 231 (1950) 943–45.
Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. Math. 57 (1953) 115–207.
Shiing-Shen Chern andE. Spanier, The homology structure of sphere bundles, Proc. Nat. Acad. Sci. 36 (1950) 248–55.
B. Eckmann, H. Samuelson andG. W. Whitehead, On fibering spheres by toruses, Bull. Amer. Math. Soc. 55 (1949) 433–38.
Samuel Eilenberg andSaunders MacLane, Group extensions and homology, Ann. Math. 43 (1942) 757–831.
Olof Hanner, Retraction and extension of mappings of metric and non-metric spaces. Ark. Mat. 2 (1952) 315–60.
I. M. James andJ. H. C. Whitehead, Note on fibre spaces, Proc. London Math. Soc. (3), 4 (1954), 129–137.
Jean Leray, Sur la forme des espaces topologiques et sur les points fixes des représentations. J. Math. Pures Appl. 24 (1945) 95–167.
Jean Leray, L’homologie d’un espace fibré dont la fibre est connexe, Ibid 29 (1950) 169–213.
S. Lefschetz, Algebraic Topology, New York 1942.
S. Lefschetz, Topics in Topology, Ann. Math. Studies No. 10, Princeton 1942.
Jean-Pierre Serre, Homologie singulière des espaces fibrés, Ann. Math. 54 (1951) 425–505.
N. E. Steenrod, The topology of fibre bundles, Princeton 1951.
J. H. C. Whitehead, On the groupsπ r (V n, m ) and sphere bundles, Proc. London Math. Soc. (2) 48 (1944) 243–91.
J. H. C. Whitehead, Note on a theorem due to Borsuk, Bull. Amer. Math. Soc. 54 (1948) 1125–32.
J. H. C. Whitehead, Combinatorial homotopy (I), Ibid, 55 (1949) 213–45.
Additional information
Dedicated to H. Hopf on his 60th birthday
This note arose out of consultations during the tenure of a John Simon Guggenheim Memorial Fellowship by Spanier.
Rights and permissions
About this article
Cite this article
Spanier, E.H., Whitehead, J.H.C. On fibre spaces in which the fibre is contractible. Commentarii Mathematici Helvetici 29, 1–8 (1955). https://doi.org/10.1007/BF02564267
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02564267