References
Barcus, W. D.: Note on cross-sections overCW-complexes. Quart. J. Math. Oxford (2), 50–160 (1954).
Hirsch, M.: Immersions of manifolds. Trans. Amer. Math. Soc.53, 242–276 (1959).
James, I. M.: A relation between Postnikov classes. Quart. J. Math. Oxford (2), 269–280 (1966).
James, I. M., andE. Thomas: Note on the classification of cross-sections. Topology4, 351–359 (1965).
——: On the enumeration of cross-sections. Topology5, 95–114 (1966).
Massey, W.: Normal vector fields on manifolds. Proc. A.M.S.12, 33–40 (1961).
—: On the Stiefel-Whitney classes of a manifold, Amer. J. Math.82, 92–102 (1960).
—: On the Stiefel-Whitney classes of a manifold. II. Proc. A.M.S.13, 938–942 (1962).
Phillips, A.: Submersions of open manifolds. Thesis. Princeton University 1966.
Spanier, E.: Algebraic Topology. New York: McGraw-Hill 1966.
Steenrod, N.: The topology of fiber bundles. Princeton University Press 1957.
Wu, W. T.: Classes charactéristiques eti-carrés d'une variété. C.R. Acad. Sci. (Paris)230, 918–920 (1950).
—: On the immersion ofC ∞-3-manifolds in a Euclidean space. Sci. Sinica13, 335–336 (1964).
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Research supported in part by a grant from the National Science Foundation.
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James, I., Thomas, E. Submersions and immersions of manifolds. Invent Math 2, 171–177 (1967). https://doi.org/10.1007/BF01425511
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DOI: https://doi.org/10.1007/BF01425511