Regular curves on Riemannian manifolds
HTML articles powered by AMS MathViewer
- by Stephen Smale
- Trans. Amer. Math. Soc. 87 (1958), 492-512
- DOI: https://doi.org/10.1090/S0002-9947-1958-0094807-0
- PDF | Request permission
References
- S. Chern, Differentiable manifolds, Notes at University of Chicago, 1955.
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886 A. R. Forsyth, A treatise on differential equations, London, 1951. S. Hu, Homotopy theory, Notes at Tulane, 1950.
- Witold Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 956–961. MR 73987, DOI 10.1073/pnas.41.11.956
- I. M. James and J. H. C. Whitehead, Note on fibre spaces, Proc. London Math. Soc. (3) 4 (1954), 129–137. MR 61837, DOI 10.1112/plms/s3-4.1.129 M. Morse, Topological methods in the theory of functions of complex variables, Princeton, 1947.
- Marston Morse, $L$-$S$- homotopy classes of locally simple curves, Ann. Soc. Polon. Math. 21 (1948), 236–256 (1949). MR 0031237
- Marston Morse, $L$-$S$-homotopy classes on the topological image of a projective plane, Bull. Amer. Math. Soc. 55 (1949), 981–1003. MR 33006, DOI 10.1090/S0002-9904-1949-09326-6
- H. Samelson, Groups and spaces of loops, Comment. Math. Helv. 28 (1954), 278–287. MR 65157, DOI 10.1007/BF02566934
- Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485 Seifert and Threlfall, Variationsrechnung in Grossen, New York, 1948. N. Steenrod, The topology of fiber bundles, Princeton, 1951. G. W. Whitehead, Homotopy theory, Notes at Massachusetts Institute of Technology, 1954.
- George W. Whitehead, On the homology suspension, Ann. of Math. (2) 62 (1955), 254–268. MR 73989, DOI 10.2307/1969679
- George W. Whitehead, On the Freudenthal theorems, Ann. of Math. (2) 57 (1953), 209–228. MR 55683, DOI 10.2307/1969855
- Hassler Whitney, On regular closed curves in the plane, Compositio Math. 4 (1937), 276–284. MR 1556973
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 87 (1958), 492-512
- MSC: Primary 55.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0094807-0
- MathSciNet review: 0094807