On generalising the notion of fibre spaces to include the fibre bundles
HTML articles powered by AMS MathViewer
- by Sze-Tsen Hu
- Proc. Amer. Math. Soc. 1 (1950), 756-762
- DOI: https://doi.org/10.1090/S0002-9939-1950-0038657-8
- PDF | Request permission
References
- Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839
- Shiing-Shen Chern and Yi-Fone Sun, The imbedding theorem for fibre bundles, Trans. Amer. Math. Soc. 67 (1949), 286–303. MR 32996, DOI 10.1090/S0002-9947-1949-0032996-9
- Ralph H. Fox, On fibre spaces. I, Bull. Amer. Math. Soc. 49 (1943), 555–557. MR 8702, DOI 10.1090/S0002-9904-1943-07969-4
- Ralph H. Fox, On fibre spaces. II, Bull. Amer. Math. Soc. 49 (1943), 733–735. MR 9109, DOI 10.1090/S0002-9904-1943-08015-9
- Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 26239, DOI 10.1090/S0002-9947-1948-0026239-9
- W. Hurewicz and N. E. Steenrod, Homotopy relations in fibre spaces, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 60–64. MR 4122, DOI 10.1073/pnas.27.1.60
- I. Gelfand and G. Šilov, Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 25–39 (German, with Russian summary). MR 0004729
- N. E. Steenrod, The classification of sphere bundles, Ann. of Math. (2) 45 (1944), 294–311. MR 9857, DOI 10.2307/1969267
- M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
- Henry Wallman, Lattices and topological spaces, Ann. of Math. (2) 39 (1938), no. 1, 112–126. MR 1503392, DOI 10.2307/1968717
- Hassler Whitney, On the theory of sphere-bundles, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 148–153. MR 1338, DOI 10.1073/pnas.26.2.148
Bibliographic Information
- © Copyright 1950 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 1 (1950), 756-762
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9939-1950-0038657-8
- MathSciNet review: 0038657