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Foliations. (English) Zbl 0293.57014


MSC:

57R30 Foliations in differential topology; geometric theory
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
57R20 Characteristic classes and numbers in differential topology
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[1] Ralph Abraham and Joel Robbin, Transversal mappings and flows, An appendix by Al Kelley, W. A. Benjamin, Inc., New York-Amsterdam, 1967. · Zbl 0171.44404
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[5] D. Barden, Simply connected five-manifolds, Ann. of Math. (2) 82 (1965), 365 – 385. · Zbl 0136.20602 · doi:10.2307/1970702
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[10] Raoul Bott, Lectures on characteristic classes and foliations, Lectures on algebraic and differential topology (Second Latin American School in Math., Mexico City, 1971) Springer, Berlin, 1972, pp. 1 – 94. Lecture Notes in Math., Vol. 279. Notes by Lawrence Conlon, with two appendices by J. Stasheff.
[11] Raoul Bott, On topological obstructions to integrability, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 27 – 36. · Zbl 0225.57010
[12] Raoul Bott, On the Lefschetz formula and exotic characteristic classes, Symposia Mathematica, Vol. X (Convegno di Geometria Differenziale, INDAM, Rome, 1971) Academic Press, London, 1972, pp. 95 – 105.
[13] R. Bott and A. Haefliger, On characteristic classes of \Gamma -foliations, Bull. Amer. Math. Soc. 78 (1972), 1039 – 1044. · Zbl 0262.57010
[14] Raoul Bott and James Heitsch, A remark on the integral cohomology of \?\Gamma _{\?}, Topology 11 (1972), 141 – 146. · Zbl 0236.55015 · doi:10.1016/0040-9383(72)90001-8
[15] Jean-Philippe Buffet and Jean-Claude Lor, Une construction d’un universal pour une classe assez large de \Gamma -structures, C. R. Acad. Sci. Paris Sér. A-B 270 (1970), A640 – A642 (French). · Zbl 0191.54103
[16] B. Cenkl, Foliations and connections with zero torsion, Northeastern University preprint (to appear). · Zbl 0197.47801
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[18] S. S. Chern, The geometry of \?-structures, Bull. Amer. Math. Soc. 72 (1966), 167 – 219. · Zbl 0136.17804
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[20] L. Conlon, Transversely parallelizable foliations of codimension two, Washington University, St. Louis, Missouri (preprint). · Zbl 0288.57011
[21] Lawrence Conlon, Foliations and locally free transformation groups of codimension two, Michigan Math. J. 21 (1974), 87 – 96. · Zbl 0288.57012
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[23] Alan H. Durfee, Foliations of odd-dimensional spheres, Ann. of Math. (2) 96 (1972), 407 – 411; erratum, ibid (2) 97 (1973), 187. · Zbl 0231.57016 · doi:10.2307/1970795
[24] Alan H. Durfee and H. Blaine Lawson Jr., Fibered knots and foliations of highly connected manifolds, Invent. Math. 17 (1972), 203 – 215. · Zbl 0231.57015 · doi:10.1007/BF01425448
[25] D. B. A. Epstein, The simplicity of certain groups of homeomorphisms, Compositio Math. 22 (1970), 165 – 173. · Zbl 0205.28201
[26] Charles Ehresmann and Georges Reeb, Sur les champs d’éléments de contact de dimension \? complètement intégrables dans une variété continuement différentiable \?_{\?}, C. R. Acad. Sci. Paris 218 (1944), 955 – 957 (French). · Zbl 0061.41205
[27] Charles Ehresmann, Sur la théorie des variétés feuilletées, Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl. (5) 10 (1951), 64 – 82 (French). · Zbl 0044.38101
[28] Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 29 – 55 (French). · Zbl 0054.07201
[29] C. E
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