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Foliations and spinnable structures on manifolds. (English) Zbl 0269.57012

MSC:
 57R30 Foliations in differential topology; geometric theory 57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) 57R65 Surgery and handlebodies
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References:
 [1] N. A’CAMPO, Feuilletages de codimension 1 sur des variétés de dimension 5, C.R. Acad. Sci. Paris, 273 (1971), 603-604. · Zbl 0221.57009 [2] J. W. ALEXANDER, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci., 9 (1923), 93-95. · JFM 49.0408.03 [3] A. H. DURFEE, Foliations of odd-dimensional spheres (to appear). · Zbl 0231.57016 [4] A. H. DURFEE and H. B. LAWSON, Fibered knots and foliations of highly connected manifolds (to appear). · Zbl 0231.57015 [5] K. FUKUI, Codimension 1 foliations on simply connected 5-manifolds (to appear). · Zbl 0271.57007 [6] A. HAEFLIGER, Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes, Comm. Math. Helv., 32 (1958), 249-329. · Zbl 0085.17303 [7] H. B. LAWSON, Codimension-one foliations of spheres, Ann. of Math., 94 (1971), 494-503. · Zbl 0236.57014 [8] J. MILNOR and M. KERVAIRE, Groups of homotopy spheres I, Ann. of Math., 77 (1963), 504-537. · Zbl 0115.40505 [9] T. MIZUTANI, Remarks on codimension one foliations of spheres, J. Math. Soc. Japan, 24 (1972), 732-735. · Zbl 0238.57014 [10] G. REEB, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust., No. 1183, Hermann, Paris, 1952. · Zbl 0049.12602 [11] S. SMALE, On the structure of manifolds, Amer. J. Math., 84 (1962), 387-399. · Zbl 0109.41103 [12] I. TAMURA, Every odd dimensional homotopy sphere has a foliation of codimension one, Comm. Math. Helv., 47 (1972), (voir Comm. Math.). · Zbl 0249.57013 [13] I. TAMURA, Spinnable structures on differentiable manifolds, Proc. Japan Acad., 48 (1972), 293-296. · Zbl 0252.57009 [14] H. E. WINKELNKEMPER, Manifolds as open books (to appear). · Zbl 0269.57011
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