Homotopy Equivalences of 3-Manifolds with Boundaries
Author : K. Johannson
Publisher : Springer
Page : 312 pages
File Size : 11,19 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540384863
Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups
Author : Richard Douglas Canary
Publisher : American Mathematical Soc.
Page : 238 pages
File Size : 36,86 MB
Release : 2004
Category : Mathematics
ISBN : 0821835491
Book Description
Three volume narrative history of 20th century.
Groups of Self-Equivalences and Related Topics
Author : Renzo A. Piccinini
Publisher : Springer
Page : 223 pages
File Size : 33,57 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540470913
Book Description
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.
Homeomorphisms of $3$-Manifolds with Compressible Boundary
Author : Darryl McCullough
Publisher : American Mathematical Soc.
Page : 117 pages
File Size : 13,23 MB
Release : 1986
Category : Mathematics
ISBN : 0821823469
Book Description
The authors study the mapping class groups of orientable [italic]P2-irreducible 3-manifolds with compressible boundary, and extend the results proved by K. Johannson for the boundary incompressible case. The authors show that the mapping class group is finitely-generated and has a geometrically defined subgroup of finite index. The main tool used in the proof of the results is to reduce the theorems to analogous statements about incompressible neighborhoods of compressible boundary components, and, using the fact that they have a very simple structure (being products-with-handles), to apply geometric techniques. Appropriate extensions of the results of the nonorientable [italic]P2-irreducible 3-manifolds are also given.
Geometric Topology
Author : James C. Cantrell
Publisher : Elsevier
Page : 713 pages
File Size : 24,12 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483271315
Book Description
Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.
Geometry and Topology Down Under
Author : Craig D. Hodgson
Publisher : American Mathematical Soc.
Page : 395 pages
File Size : 46,33 MB
Release : 2013-08-23
Category : Mathematics
ISBN : 0821884808
Book Description
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.
Algorithmic Topology and Classification of 3-Manifolds
Author : Sergei Matveev
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 36,51 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 3662051028
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.
In the Tradition of Ahlfors and Bers, III
Author : William Abikoff
Publisher : American Mathematical Soc.
Page : 364 pages
File Size : 19,37 MB
Release : 2004
Category : Mathematics
ISBN : 0821836072
Book Description
Contains proceedings that reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This book is suitable for graduate students and researchers interested in complex analysis.
Topology and Combinatorics of 3-Manifolds
Author : Klaus Johannson
Publisher : Springer
Page : 464 pages
File Size : 32,82 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540491813
Book Description
This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds
The Hyperbolization Theorem for Fibered 3-Manifolds
Author : Jean-Pierre Otal
Publisher : American Mathematical Soc.
Page : 150 pages
File Size : 22,80 MB
Release : 2001
Category : Mathematics
ISBN : 9780821821534
Book Description
For graduate students familiar with low-dimensional topology and researchers in geometry and topology, Otal (CNRS-UMR 128, Lyon) offers a complete proof of Thurston's hyperbolization theorem for 3-manifolds that fiber as surface bundles. The original Le Theoreme d'Hyperbolisation pour les Varietes de Dimension 3, published by the French Mathematical Society in 1996, has been translated by Leslie D. Kay. c. Book News Inc.
