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Regular Mapping And The Space Of Homeomorphisms On A 3 Manifold
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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:
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:
Author :Mary Elizabeth Hamstrom Publisher :American Mathematical Society(RI) ISBN 13 :9780821812402 Total Pages :42 pages Book Rating :4.8/5 (124 download)
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:
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:
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.
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.
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.
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:
Book Synopsis Continuous Selections of Multivalued Mappings by : D. Repovs
Download or read book Continuous Selections of Multivalued Mappings written by D. Repovs and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics.
Book Synopsis In the Tradition of Thurston III by : Ken’ichi Ohshika
Download or read book In the Tradition of Thurston III written by Ken’ichi Ohshika and published by Springer Nature. This book was released on with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Primer on Mapping Class Groups by : Benson Farb
Download or read book A Primer on Mapping Class Groups written by Benson Farb and published by Princeton University Press. This book was released on 2012 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.
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:
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
Book Synopsis Topological Library by : Сергей Петрович Новиков
Download or read book Topological Library written by Сергей Петрович Новиков and published by World Scientific Publishing Company. This book was released on 2007 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
Book Synopsis Regular Mappings and the Space of Homeomorphisms by :
Download or read book Regular Mappings and the Space of Homeomorphisms written by and published by . This book was released on 1961 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seifert Fibered Spaces in 3-Manifolds by : William H. Jaco
Download or read book Seifert Fibered Spaces in 3-Manifolds written by William H. Jaco and published by American Mathematical Soc.. This book was released on 1979 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theorem of this monograph, or rather the "absolute" case of the main theorem, provides what is essentially a homotopy-classification of suitably "nondegenerate" maps of Seifert-fibered 3-manifolds into a sufficiently-large, compact, irreducible, orientable 3-manifold M.
Book Synopsis Lectures on the Topology of 3-Manifolds by : Nikolai Saveliev
Download or read book Lectures on the Topology of 3-Manifolds written by Nikolai Saveliev and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
