Homotopy Equivalences of 3-Manifolds with Boundaries

Homotopy Equivalences of 3-Manifolds with Boundaries PDF Author: K. Johannson
Publisher: Springer
ISBN: 3540384863
Category : Mathematics
Languages : en
Pages : 312

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Homotopy Equivalences of 3-Manifolds with Boundaries

Homotopy Equivalences of 3-Manifolds with Boundaries PDF Author: K. Johannson
Publisher: Springer
ISBN: 3540384863
Category : Mathematics
Languages : en
Pages : 312

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Book Description


Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups

Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups PDF Author: Richard Douglas Canary
Publisher: American Mathematical Soc.
ISBN: 0821835491
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Three volume narrative history of 20th century.

Algebraic and Geometric Topology, Part 2

Algebraic and Geometric Topology, Part 2 PDF Author: R. James Milgram
Publisher: American Mathematical Soc.
ISBN: 0821814338
Category : Mathematics
Languages : en
Pages : 330

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Book Description
Contains sections on Structure of topological manifolds, Low dimensional manifolds, Geometry of differential manifolds and algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes, Problems.

Algorithmic and Computer Methods for Three-Manifolds

Algorithmic and Computer Methods for Three-Manifolds PDF Author: A.T. Fomenko
Publisher: Springer Science & Business Media
ISBN: 9401706999
Category : Mathematics
Languages : en
Pages : 343

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Book Description
One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

Algorithmic Topology and Classification of 3-Manifolds

Algorithmic Topology and Classification of 3-Manifolds PDF Author: Sergei Matveev
Publisher: Springer Science & Business Media
ISBN: 3662051028
Category : Mathematics
Languages : en
Pages : 487

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Book Description
Here is a thorough review of topics in 3-dimensional topology, derived from a decade of courses taught by the author. The author keeps the exposition to an elementary level by presenting the material mainly from the point of view of special polyhedra and special spines of 3-manifolds. The book culminates with the recognition procedure for Haken manifolds, and includes up-to-date results in computer enumeration of 3-mainfolds. The second edition adds new results, new proofs, and commentaries. Algorithmic Topology and Classification of 3-Manifolds serves as a standard reference for algorithmic 3-dimensional topology for both graduate students and researchers.

Diffeomorphisms of Elliptic 3-Manifolds

Diffeomorphisms of Elliptic 3-Manifolds PDF Author: Sungbok Hong
Publisher: Springer
ISBN: 364231564X
Category : Mathematics
Languages : en
Pages : 163

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Book Description
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background

A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology PDF Author: J. P. May
Publisher: University of Chicago Press
ISBN: 9780226511832
Category : Mathematics
Languages : en
Pages : 262

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Book Description
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Topology Symposium Siegen 1979

Topology Symposium Siegen 1979 PDF Author: Ulrich Koschorke
Publisher: Springer
ISBN: 3540391878
Category : Mathematics
Languages : en
Pages : 507

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Surgery on Compact Manifolds

Surgery on Compact Manifolds PDF Author: Charles Terence Clegg Wall
Publisher: American Mathematical Soc.
ISBN: 0821809423
Category : Mathematics
Languages : en
Pages : 321

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Book Description
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.

Collected Works of William P. Thurston with Commentary

Collected Works of William P. Thurston with Commentary PDF Author: Benson Farb
Publisher: American Mathematical Society
ISBN: 1470474735
Category : Mathematics
Languages : en
Pages : 652

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Book Description
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume II contains William Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.