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Differential topology.

Author: John W Milnor
Publisher: Providence, R.I. : American Mathematical Society, ©2007.
Edition/Format:   Print book : EnglishView all editions and formats

The field of differential topology underwent a dramatic development period between 1955 and 1965. This collection of articles contains original papers and expository lectures. It includes commentary  Read more...


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Document Type: Book
All Authors / Contributors: John W Milnor
ISBN: 9780821842300 0821842307
OCLC Number: 76937338
Description: xvi, 343 pages : illustrations ; 27 cm.
Contents: 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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