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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
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Book Rating : 471/5 ( reviews)

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Book Synopsis Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 by : Ib Madsen

Download or read book Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 written by Ib Madsen. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

The Classifying Spaces for Surgery and Cobordism of Manifolds

1979 Mathematics
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Release : 1979
Genre : Mathematics
Kind : eBook
Book Rating : 257/5 ( reviews)

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Book Synopsis The Classifying Spaces for Surgery and Cobordism of Manifolds by : Ib Henning Madsen

Download or read book The Classifying Spaces for Surgery and Cobordism of Manifolds written by Ib Henning Madsen. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

The Classifying Spaces for Surgery and Cobordism of Manifolds

1979-11-21 Mathematics
Download The Classifying Spaces for Surgery and Cobordism of Manifolds PDF Online Free

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Release : 1979-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 264/5 ( reviews)

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Book Synopsis The Classifying Spaces for Surgery and Cobordism of Manifolds by : Ib Madsen

Download or read book The Classifying Spaces for Surgery and Cobordism of Manifolds written by Ib Madsen. This book was released on 1979-11-21. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

Surgery on Simply-Connected Manifolds

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 20X/5 ( reviews)

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Book Synopsis Surgery on Simply-Connected Manifolds by : William Browder

Download or read book Surgery on Simply-Connected Manifolds written by William Browder. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.

Surgery on Compact Manifolds

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)

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Book Synopsis Surgery on Compact Manifolds by : Charles Terence Clegg Wall

Download or read book Surgery on Compact Manifolds written by Charles Terence Clegg Wall. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.

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