Regular Mappings and the Space of Homeomorphisms on a 3-Manifold

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Publisher : American Mathematical Soc.
ISBN 13 : 0821812408
Total Pages : 47 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Regular Mappings and the Space of Homeomorphisms on a 3-Manifold by : Mary-Elizabeth Hamstrom

Download or read book Regular Mappings and the Space of Homeomorphisms on a 3-Manifold written by Mary-Elizabeth Hamstrom and published by American Mathematical Soc.. This book was released on 1961 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regular Mappings and the Space of Homeomorphisms on a 3-Manifold

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Author :
Publisher : American Mathematical Society(RI)
ISBN 13 : 9780821812402
Total Pages : 42 pages
Book Rating : 4.8/5 (124 download)

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Book Synopsis Regular Mappings and the Space of Homeomorphisms on a 3-Manifold by : Mary Elizabeth Hamstrom

Download or read book Regular Mappings and the Space of Homeomorphisms on a 3-Manifold written by Mary Elizabeth Hamstrom and published by American Mathematical Society(RI). This book was released on 1961-12-30 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regular Mapping and the Space of Homeomorphisms on a 3-manifold

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Author :
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Regular Mapping and the Space of Homeomorphisms on a 3-manifold by : Mary Elizabeth Hamstrom

Download or read book Regular Mapping and the Space of Homeomorphisms on a 3-manifold written by Mary Elizabeth Hamstrom and published by . This book was released on 1961 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Homeomorphisms of 3-manifolds with Compressible Boundary

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860779
Total Pages : 120 pages
Book Rating : 4.8/5 (67 download)

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Book Synopsis Homeomorphisms of 3-manifolds with Compressible Boundary by : Darryl McCullough

Download or read book Homeomorphisms of 3-manifolds with Compressible Boundary written by Darryl McCullough and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

3-Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836951
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis 3-Manifolds by : John Hempel

Download or read book 3-Manifolds written by John Hempel and published by American Mathematical Soc.. This book was released on 2004-11-02 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful and systematic development of the theory of the topology of 3-manifolds, focusing on the critical role of the fundamental group in determining the topological structure of a 3-manifold ... self-contained ... one can learn the subject from it ... would be very appropriate as a text for an advanced graduate course or as a basis for a working seminar. --Mathematical Reviews For many years, John Hempel's book has been a standard text on the topology of 3-manifolds. Even though the field has grown tremendously, the book remains one of the best and most popular introductions to the subject. The theme of this book is the role of the fundamental group in determining the topology of a given 3-manifold. The essential ideas and techniques are covered in the first part of the book: Heegaard splittings, connected sums, the loop and sphere theorems, incompressible surfaces, free groups, and so on. Along the way, many useful and insightful results are proved, usually in full detail. Later chapters address more advanced topics, including Waldhausen's theorem on a class of 3-manifolds that is completely determined by its fundamental group. The book concludes with a list of problems that were unsolved at the time of publication. Hempel's book remains an ideal text to learn about the world of 3-manifolds. The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text.

3-manifolds and Their Mappings

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Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 3-manifolds and Their Mappings by : Darryl McCullough

Download or read book 3-manifolds and Their Mappings written by Darryl McCullough and published by . This book was released on 1995 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transactions of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Transactions of the American Mathematical Society by :

Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1971 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Homotopy Equivalences of 3-Manifolds with Boundaries

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Author :
Publisher : Springer
ISBN 13 : 3540384863
Total Pages : 312 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Homotopy Equivalences of 3-Manifolds with Boundaries by : K. Johannson

Download or read book Homotopy Equivalences of 3-Manifolds with Boundaries written by K. Johannson and published by Springer. This book was released on 2006-11-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Erdos Space and Homeomorphism Groups of Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846353
Total Pages : 76 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Erdos Space and Homeomorphism Groups of Manifolds by : Jan Jakobus Dijkstra

Download or read book Erdos Space and Homeomorphism Groups of Manifolds written by Jan Jakobus Dijkstra and published by American Mathematical Soc.. This book was released on 2010 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let M be either a topological manifold, a Hilbert cube manifold, or a Menger manifold and let D be an arbitrary countable dense subset of M. Consider the topological group H(M,D) which consists of all autohomeomorphisms of M that map D onto itself equipped with the compact-open topology. We present a complete solution to the topological classification problem for H(M,D) as follows. If M is a one-dimensional topological manifold, then we proved in an earlier paper that H(M,D) is homeomorphic to Qω, the countable power of the space of rational numbers. In all other cases we find in this paper that H(M,D) is homeomorphic to the famed Erdős space E E, which consists of the vectors in Hilbert space l2 with rational coordinates. We obtain the second result by developing topological characterizations of Erdős space.

Quantum Invariants of Knots and 3-Manifolds

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110435225
Total Pages : 608 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Quantum Invariants of Knots and 3-Manifolds by : Vladimir G. Turaev

Download or read book Quantum Invariants of Knots and 3-Manifolds written by Vladimir G. Turaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-11 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups. The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. Part III provides constructions of modular categories, based on quantum groups and skein modules of tangles in the 3-space. This fundamental contribution to topological quantum field theory is accessible to graduate students in mathematics and physics with knowledge of basic algebra and topology. It is an indispensable source for everyone who wishes to enter the forefront of this fascinating area at the borderline of mathematics and physics. Contents: Invariants of graphs in Euclidean 3-space and of closed 3-manifolds Foundations of topological quantum field theory Three-dimensional topological quantum field theory Two-dimensional modular functors 6j-symbols Simplicial state sums on 3-manifolds Shadows of manifolds and state sums on shadows Constructions of modular categories

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 998 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 462 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings by : Louis F. McAuley

Download or read book Proceedings written by Louis F. McAuley and published by . This book was released on 1970 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems on 2- and 3-Manifolds

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Publisher : Springer
ISBN 13 : 3319448471
Total Pages : 314 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Dynamical Systems on 2- and 3-Manifolds by : Viacheslav Z. Grines

Download or read book Dynamical Systems on 2- and 3-Manifolds written by Viacheslav Z. Grines and published by Springer. This book was released on 2016-11-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms focusing on the nontrivial effects of the dynamical systems on 2- and 3-manifolds. The classical methods and approaches which are considered to be promising for the further research are also discussed.“br> The reader needs to be familiar with the basic concepts of the qualitative theory of dynamical systems which are presented in Part 1 for convenience. The book is accessible to ambitious undergraduates, graduates, and researchers in dynamical systems and low dimensional topology. This volume consists of 10 chapters; each chapter contains its own set of references and a section on further reading. Proofs are presented with the exact statements of the results. In Chapter 10 the authors briefly state the necessary definitions and results from algebra, geometry and topology. When stating ancillary results at the beginning of each part, the authors refer to other sources which are readily available.

Groups of Self-Equivalences and Related Topics

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Publisher : Springer
ISBN 13 : 3540470913
Total Pages : 223 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Groups of Self-Equivalences and Related Topics by : Renzo A. Piccinini

Download or read book Groups of Self-Equivalences and Related Topics written by Renzo A. Piccinini and published by Springer. This book was released on 2006-11-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

Regular Mappings and the Space of Holeomorphisms on a 3-manifolds

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Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis Regular Mappings and the Space of Holeomorphisms on a 3-manifolds by : Mary-Elizabeth Hamstrom

Download or read book Regular Mappings and the Space of Holeomorphisms on a 3-manifolds written by Mary-Elizabeth Hamstrom and published by . This book was released on 1961 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diffeomorphisms of Elliptic 3-Manifolds

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Publisher : Springer
ISBN 13 : 364231564X
Total Pages : 163 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Diffeomorphisms of Elliptic 3-Manifolds by : Sungbok Hong

Download or read book Diffeomorphisms of Elliptic 3-Manifolds written by Sungbok Hong and published by Springer. This book was released on 2012-08-29 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometric Topology in Dimensions 2 and 3

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Publisher : Springer Science & Business Media
ISBN 13 : 1461299063
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Topology in Dimensions 2 and 3 by : E.E. Moise

Download or read book Geometric Topology in Dimensions 2 and 3 written by E.E. Moise and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to identify. The first classic result was the SchOnflies theorem (1910), which asserts that every 1-sphere in the plane is the boundary of a 2-cell. In the next few decades, the most notable affirmative results were the "Schonflies theorem" for polyhedral 2-spheres in space, proved by J. W. Alexander [Ad, and the triangulation theorem for 2-manifolds, proved by T. Rad6 [Rd. But the most striking results of the 1920s were negative. In 1921 Louis Antoine [A ] published an extraordinary paper in which he 4 showed that a variety of plausible conjectures in the topology of 3-space were false. Thus, a (topological) Cantor set in 3-space need not have a simply connected complement; therefore a Cantor set can be imbedded in 3-space in at least two essentially different ways; a topological 2-sphere in 3-space need not be the boundary of a 3-cell; given two disjoint 2-spheres in 3-space, there is not necessarily any third 2-sphere which separates them from one another in 3-space; and so on and on. The well-known "horned sphere" of Alexander [A ] appeared soon thereafter.