Topology Ergodic Theory Real Algebraic Geometry PDF Download
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| Author | : Vladimir G. Turaev |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 300 |
| Release | : 2001 |
| Genre | : Biography & Autobiography |
| ISBN | : 9780821827406 |
Download Topology, Ergodic Theory, Real Algebraic Geometry Book in PDF, ePub and Kindle
This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 2001 |
| Genre | : |
| ISBN | : 9781470434137 |
Download Topology, Ergodic Theory, Real Algebraic Geometry Book in PDF, ePub and Kindle
| Author | : Selman Akbulut |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 170 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : 0821802925 |
Download Real Algebraic Geometry and Topology Book in PDF, ePub and Kindle
This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.
| Author | : Selman Akbulut |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 260 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461397391 |
Download Topology of Real Algebraic Sets Book in PDF, ePub and Kindle
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.
| Author | : Robert J. Zimmer |
| Publisher | : University of Chicago Press |
| Total Pages | : 724 |
| Release | : 2019-12-23 |
| Genre | : Mathematics |
| ISBN | : 022656827X |
Download Group Actions in Ergodic Theory, Geometry, and Topology Book in PDF, ePub and Kindle
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.
| Author | : Vladimir Igorevich Arnolʹd |
| Publisher | : |
| Total Pages | : |
| Release | : 1999 |
| Genre | : |
| ISBN | : 9781470434083 |
Download Pseudoperiodic Topology Book in PDF, ePub and Kindle
This volume offers an account of the present state of the art in pseudoperiodic topology-a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience. From the Preface by V.I. Arnold: "The authors ... have done much to s.
| Author | : |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 280 |
| Release | : 1968-12-31 |
| Genre | : |
| ISBN | : 9780821896426 |
Download Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology Book in PDF, ePub and Kindle
| Author | : Anatoly M. Vershik |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 345 |
| Release | : 2021-08-30 |
| Genre | : Education |
| ISBN | : 1470456648 |
Download Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial Book in PDF, ePub and Kindle
Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory. The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia. The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual very interesting documents.
| Author | : Harry Furstenberg |
| Publisher | : Princeton University Press |
| Total Pages | : 216 |
| Release | : 2014-07-14 |
| Genre | : Mathematics |
| ISBN | : 1400855160 |
Download Recurrence in Ergodic Theory and Combinatorial Number Theory Book in PDF, ePub and Kindle
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Sergeĭ Vladimirovich Matveev |
| Publisher | : European Mathematical Society |
| Total Pages | : 112 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9783037190234 |
Download Lectures on Algebraic Topology Book in PDF, ePub and Kindle
Algebraic topology is the study of the global properties of spaces by means of algebra. It is an important branch of modern mathematics with a wide degree of applicability to other fields, including geometric topology, differential geometry, functional analysis, differential equations, algebraic geometry, number theory, and theoretical physics. This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner. It presents elements of both homology theory and homotopy theory, and includes various applications. The author's intention is to rely on the geometric approach by appealing to the reader's own intuition to help understanding. The numerous illustrations in the text also serve this purpose. Two features make the text different from the standard literature: first, special attention is given to providing explicit algorithms for calculating the homology groups and for manipulating the fundamental groups. Second, the book contains many exercises, all of which are supplied with hints or solutions. This makes the book suitable for both classroom use and for independent study.
