Author: T. A. Chapman
Publisher: Springer
ISBN: 3540409734
Category : Mathematics
Languages : en
Pages : 97

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Author: Enrico Giusti
Publisher: Springer
ISBN: 3540397167
Category : Mathematics
Languages : en
Pages : 295

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Author: H. W. Knobloch
Publisher: Springer
ISBN: 3540386785
Category : Mathematics
Languages : en
Pages : 693

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Author: Andrew Ranicki
Publisher: Springer
ISBN: 3540394133
Category : Mathematics
Languages : en
Pages : 428

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Author: Shmuel Weinberger
Publisher: Cambridge University Press
ISBN: 1108916848
Category : Mathematics
Languages : en
Pages : 366

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Book Description
In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 532

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Author: L. Salvadori
Publisher: Springer
ISBN: 3540388125
Category : Mathematics
Languages : en
Pages : 242

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Author: H-J. Baues
Publisher: Springer Science & Business Media
ISBN: 9780792369820
Category : Mathematics
Languages : en
Pages : 312

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This book deals with algebraic topology, homotopy theory and simple homotopy theory of infinite CW-complexes with ends. Contrary to most other works on these subjects, the current volume does not use inverse systems to treat these topics. Here, the homotopy theory is approached without the rather sophisticated notion of pro-category. Spaces with ends are studied only by using appropriate constructions such as spherical objects of CW-complexes in the category of spaces with ends, and all arguments refer directly to this category. In this way, infinite homotopy theory is presented as a natural extension of classical homotopy theory. In particular, this book introduces the construction of the proper groupoid of a space with ends and then the cohomology with local coefficients is defined by the enveloping ringoid of the proper fundamental groupoid. This volume will be of interest to researchers whose work involves algebraic topology, category theory, homological algebra, general topology, manifolds, and cell complexes.

Author: Stefan Jackowski
Publisher: Springer
ISBN: 354047403X
Category : Mathematics
Languages : en
Pages : 404

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Book Description
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.

Author: K. Ito
Publisher: Springer
ISBN: 3540387013
Category : Mathematics
Languages : en
Pages : 758

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