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Thomas, Emery

Submersions and immersions with codimension one or two. (English) Zbl 0169.26102

Proc. Am. Math. Soc. 19, 859-863 (1968).
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Cited in 5 Documents

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topology
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\textit{E. Thomas}, Proc. Am. Math. Soc. 19, 859--863 (1968; Zbl 0169.26102)
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[1] M. F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 7 – 38. · Zbl 0108.17705
[2] A. Dold and H. Whitney, Classification of oriented sphere bundles over a 4-complex, Ann. of Math. (2) 69 (1959), 667 – 677. · Zbl 0124.38103 · doi:10.2307/1970030
[3] Morris W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959), 242 – 276. · Zbl 0113.17202
[4] Morris W. Hirsch, On imbedding differentiable manifolds in euclidean space, Ann. of Math. (2) 73 (1961), 566 – 571. · Zbl 0123.16701 · doi:10.2307/1970318
[5] W. S. Massey, On the cohomology ring of a sphere bundle, J. Math. Mech. 7 (1958), 265-289. · Zbl 0089.39204
[6] Anthony Phillips, Submersions of open manifolds, Topology 6 (1967), 171 – 206. · Zbl 0204.23701 · doi:10.1016/0040-9383(67)90034-1
[7] Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. · Zbl 0145.43303
[8] R. H. Szczarba, On tangent bundles of fibre spaces and quotient spaces, Amer. J. Math. 86 (1964), 685 – 697. · Zbl 0151.31703 · doi:10.2307/2373152
[9] Emery Thomas, On the cohomology of the real Grassmann complexes and the characteristic classes of \?-plane bundles, Trans. Amer. Math. Soc. 96 (1960), 67 – 89. · Zbl 0098.36301
[10] Emery Thomas, Homotopy classification of maps by cohomology homomorphisms, Trans. Amer. Math. Soc. 111 (1964), 138 – 151. · Zbl 0119.18401
[11] -, On the existence of immersions and submersions (to appear). · Zbl 0169.26101
[12] Wen-tsün Wu, Les \?-carrés dans une variété grassmannienne, C. R. Acad. Sci. Paris 230 (1950), 918 – 920 (French). · Zbl 0035.24904
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