Differential topology
著者
書誌事項
Differential topology
（Collected papers of John Milnor, 3）
American Mathematical Society, c2007
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注記
Includes bibliographical references (p. 319-332) and indexes
内容説明・目次
内容説明
The field of differential topology underwent a dramatic development period between 1955 and 1965. This collection of articles written by one of the creators of this field contains not only original papers, but also previously unpublished expository lectures. It includes commentary by the author, filling in some of the historical context, and outlining subsequent developments. It includes a rich bibliography of newer and older papers, providing a wider and deeper understanding of the subject. It also outlines the actual state of the art, and provides an index that will allow the reader to browse easily through the book. Of particular interest are the articles related to the existence of exotic differentiable structures on spheres, the achievement for which J. Milnor was awarded the Fields Medal in 1962.
目次
Exotic spheres: Introduction: How these papers came to be written On manifolds homeomorphic to the 7-sphere On the relationship between differentiable manifolds and combinatorial manifolds Sommes de varietes differentiables et structures differentiables des spheres Differentiable structures on spheres A procedure of killing homotopy groups of differentiable manifolds Differentiable manifolds which are homotopy spheres with M. A. Kervaire, Groups of homotopy spheres: I Differential topology Expository lectures: Introduction with J. R. Munkres, Lectures on differential topology (Notes by J. R. Munkres) Lectures on differentiable structures Smooth manifolds with boundary Relations with algebraic topology: Introduction with R. Bott, On the parallelizability of the spheres Some consequences of a theorem of Bott On te Whitehead homomorphism $J$ with M. A. Kervaire, Bernoulli numbers, homotopy groups and a theorem of Rohlin Cobordism: Introduction On the cobordism ring $\Omega*$ On the cobordism ring $\Omega*$ and a complex analogue, part I Travaux de Milnor surle cobordisme A survey of cobordism theory A survey of cobordism (Erratum) Spin structures on manifolds Remarks concerning spin manifolds On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds A concluding amusement: Symmetry breaking Bibliography Index.
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