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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 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 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 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:
Download or read book Duke Mathematical Journal written by and published by . This book was released on 1971 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: Without specializing in a small number of subject areas, this journal emphasizes the most active and influential areas of current mathematics.
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.
Book Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
Download or read book The Geometry and Topology of Three-Manifolds written by William P. Thurston and published by American Mathematical Society. This book was released on 2023-06-16 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
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:
Book Synopsis Reviews of Papers in Algebraic and Differential Topology, Topological Groups, and Homological Algebra by : Norman Earl Steenrod
Download or read book Reviews of Papers in Algebraic and Differential Topology, Topological Groups, and Homological Algebra written by Norman Earl Steenrod and published by . This book was released on 1968 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopedia of General Topology by : K.P. Hart
Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
Book Synopsis Surfaces and Planar Discontinuous Groups by : Heiner Zieschang
Download or read book Surfaces and Planar Discontinuous Groups written by Heiner Zieschang and published by Springer. This book was released on 2006-11-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithmic and Computer Methods for Three-Manifolds by : A.T. Fomenko
Download or read book Algorithmic and Computer Methods for Three-Manifolds written by A.T. Fomenko and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Combinatorial Methods in Topology and Algebraic Geometry by : John R. Harper
Download or read book Combinatorial Methods in Topology and Algebraic Geometry written by John R. Harper and published by American Mathematical Soc.. This book was released on 1985 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.
Book Synopsis Illinois Journal of Mathematics by :
Download or read book Illinois Journal of Mathematics written by and published by . This book was released on 1976 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spaces of Dynamical Systems by : Sergei Yu. Pilyugin
Download or read book Spaces of Dynamical Systems written by Sergei Yu. Pilyugin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-08-05 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic and Geometric Topology, Part 2 by : R. James Milgram
Download or read book Algebraic and Geometric Topology, Part 2 written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topology and Combinatorics of 3-Manifolds by : Klaus Johannson
Download or read book Topology and Combinatorics of 3-Manifolds written by Klaus Johannson and published by Springer. This book was released on 2006-11-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
