Controlled Simple Homotopy Theory and Applications

Controlled Simple Homotopy Theory and Applications PDF Author: T. A. Chapman
Publisher: Springer
ISBN: 3540409734
Category : Mathematics
Languages : en
Pages : 97

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Controlled Simple Homotopy Theory and Applications

Controlled Simple Homotopy Theory and Applications PDF Author: T. A. Chapman
Publisher: Springer
ISBN: 3540409734
Category : Mathematics
Languages : en
Pages : 97

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Book Description


Controlled Simple Homotopy Theory and Applications

Controlled Simple Homotopy Theory and Applications PDF Author: T. A. Chapman
Publisher: Springer
ISBN: 9783540123385
Category : Mathematics
Languages : en
Pages : 94

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Harmonic Mappings and Minimal Immersion

Harmonic Mappings and Minimal Immersion PDF Author: Enrico Giusti
Publisher: Springer
ISBN: 3540397167
Category : Mathematics
Languages : en
Pages : 295

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Equadiff 82

Equadiff 82 PDF Author: H. W. Knobloch
Publisher: Springer
ISBN: 3540386785
Category : Mathematics
Languages : en
Pages : 693

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Algebraic and Geometric Topology

Algebraic and Geometric Topology PDF Author: Andrew Ranicki
Publisher: Springer
ISBN: 3540394133
Category : Mathematics
Languages : en
Pages : 428

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Variations on a Theme of Borel

Variations on a Theme of Borel PDF 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.

Bifurcation Theory and Applications

Bifurcation Theory and Applications PDF Author: L. Salvadori
Publisher: Springer
ISBN: 3540388125
Category : Mathematics
Languages : en
Pages : 242

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Infinite Homotopy Theory

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

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Book Description
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.

Geometry and Topology

Geometry and Topology PDF Author: Mccrory
Publisher: CRC Press
ISBN: 9780824776213
Category : Mathematics
Languages : en
Pages : 370

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Book Description
This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.

Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF 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.