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The Topological Classification Of 3 Dimensional Real Algebraic Sets
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Book Synopsis The Topological Classification of 3-dimensional Real Algebraic Sets by : Selman Akbulut
Download or read book The Topological Classification of 3-dimensional Real Algebraic Sets written by Selman Akbulut and published by . This book was released on 1985* with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topology of Real Algebraic Sets by : Selman Akbulut
Download or read book Topology of Real Algebraic Sets written by Selman Akbulut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Fall of 1975 we started a joint project with the ultimate goal of topo logically classifying real algebraic sets. This has been a long happy collaboration (c.f., [K2)). In 1985 while visiting M.S.R.1. we organized and presented our classification results up to that point in the M.S.R.1. preprint series [AK14] -[AK17]. Since these results are interdependent and require some prerequisites as well as familiarity with real algebraic geometry, we decided to make them self contained by presenting them as a part of a book in real algebraic geometry. Even though we have not arrived to our final goal yet we feel that it is time to introduce them in a self contained coherent version and demonstrate their use by giving some applications. Chapter I gives the overview of the classification program. Chapter II has all the necessary background for the rest of the book, which therefore can be used as a course in real algebraic geometry. It starts with the elementary properties of real algebraic sets and ends with the recent solution of the Nash Conjecture. Chapter III and Chapter IV develop the theory of resolution towers. Resolution towers are basic topologically defined objects generalizing the notion of manifold.
Book Synopsis The Topological Classification of 3-dimensional Real Sets by : Mathematical Sciences Research Institute (Berkeley, Calif.).
Download or read book The Topological Classification of 3-dimensional Real Sets written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry and Topology written by Mccrory and published by CRC Press. This book was released on 1986-10-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Book Synopsis Real Algebraic Geometry by : Michel Coste
Download or read book Real Algebraic Geometry written by Michel Coste and published by Springer. This book was released on 2006-11-15 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the intervening decade - see the 6 survey papers listed below. Further contributions from the participants on recent research covered real algebra and geometry, topology of real algebraic varieties and 16thHilbert problem, classical algebraic geometry, techniques in real algebraic geometry, algorithms in real algebraic geometry, semialgebraic geometry, real analytic geometry. CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology in the last ten years.- R. Parimala: Algebraic and topological invariants of real algebraic varieties.- Polotovskii, G.M.: On the classification of decomposing plane algebraic curves.- Scheiderer, C.: Real algebra and its applications to geometry in the last ten years: some major developments and results.- Shustin, E.L.: Topology of real plane algebraic curves.- Silhol, R.: Moduli problems in real algebraic geometry. Further contributions by: S. Akbulut and H. King; C. Andradas and J. Ruiz; A. Borobia; L. Br|cker; G.W. Brumfield; A. Castilla; Z. Charzynski and P. Skibinski; M. Coste and M. Reguiat; A. Degtyarev; Z. Denkowska; J.-P. Francoise and F. Ronga; J.M. Gamboa and C. Ueno; D. Gondard- Cozette; I.V. Itenberg; P. Jaworski; A. Korchagin; T. Krasinksi and S. Spodzieja; K. Kurdyka; H. Lombardi; M. Marshall and L. Walter; V.F. Mazurovskii; G. Mikhalkin; T. Mostowski and E. Rannou; E.I. Shustin; N. Vorobjov.
Book Synopsis Geometry and Topology by : Martin A. Mccrory
Download or read book Geometry and Topology written by Martin A. Mccrory and published by CRC Press. This book was released on 2020-12-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Book Synopsis Topology of real algebraic varieties and related topics by : V. Kharlamov
Download or read book Topology of real algebraic varieties and related topics written by V. Kharlamov and published by American Mathematical Soc.. This book was released on 1996 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Topology of Four-dimensional Real Algebraic Sets by : Michelle Previte
Download or read book The Topology of Four-dimensional Real Algebraic Sets written by Michelle Previte and published by . This book was released on 2000 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithmic Topology and Classification of 3-Manifolds by : Sergei Matveev
Download or read book Algorithmic Topology and Classification of 3-Manifolds written by Sergei Matveev and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic Topology by : Rafael Ayala
Download or read book Algebraic Topology written by Rafael Ayala and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2012-01-24 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALGEBRAIC TOPOLOGY: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a geometric approach to the Hurewicz theorem relating homology and homotopy. The last chapter exploits the algebraic invariants introduced in the book to give in detail the homotopical classification of the three-dimensional lens spaces. Each chapter concludes with a generous list of exercises and problems; many of them contain hints for their solution. Some groups of problems introduce a topic not included in the basic core of the book.
Book Synopsis Lecture Notes in Pure and Applied Mathematics by :
Download or read book Lecture Notes in Pure and Applied Mathematics written by and published by . This book was released on 1987 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithmic and Quantitative Real Algebraic Geometry by : Saugata Basu
Download or read book Algorithmic and Quantitative Real Algebraic Geometry written by Saugata Basu and published by American Mathematical Soc.. This book was released on 2003 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on ``Algorithmic and Quantitative Aspects of Real Algebraic Geometry''. Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
Book Synopsis Classification Theory of Algebraic Varieties and Compact Complex Spaces by : K. Ueno
Download or read book Classification Theory of Algebraic Varieties and Compact Complex Spaces written by K. Ueno and published by Springer. This book was released on 2006-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Classification of Integrable Systems by : A. T. Fomenko
Download or read book Topological Classification of Integrable Systems written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 1991 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Concise Course in Algebraic Topology by : J. P. May
Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.