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A Grassmannian For Piecewise Linear Topology
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Book Synopsis Grassmannians and Gauss Maps in Piecewise-Linear Topology by : Norman Levitt
Download or read book Grassmannians and Gauss Maps in Piecewise-Linear Topology written by Norman Levitt and published by Springer. This book was released on 2006-11-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. The analogs of Grassmannian and Gauss map defined incorporate geometric and combinatorial information. Principal applications involve characteristic class theory, smoothing theory, and the existence of immersion satifying certain geometric criteria, e.g. curvature conditions. The book assumes knowledge of basic differential topology and bundle theory, including Hirsch-Gromov-Phillips theory, as well as the analogous theories for the PL category. The work should be of interest to mathematicians concerned with geometric topology, PL and PD aspects of differential geometry and the geometry of polyhedra.
Book Synopsis Basic Topology 2 by : Avishek Adhikari
Download or read book Basic Topology 2 written by Avishek Adhikari and published by Springer Nature. This book was released on 2022-09-08 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way.
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2006 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2007 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology I written by S.P. Novikov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Doctoral Dissertations by :
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1979 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Combinatorial and Differential Topology by : V. V. Prasolov
Download or read book Elements of Combinatorial and Differential Topology written by V. V. Prasolov and published by American Mathematical Society. This book was released on 2022-03-25 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the main goals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are supplied with hints or complete solutions.
Book Synopsis Library of Congress Subject Headings by : Library of Congress. Office for Subject Cataloging Policy
Download or read book Library of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1992 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book L'Enseignement mathématique written by and published by . This book was released on 1989 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1965- include a separately paged section, Bulletin bibliographique.
Book Synopsis Exotic Smoothness And Physics: Differential Topology And Spacetime Models by : Torsten Asselmeyer-maluga
Download or read book Exotic Smoothness And Physics: Differential Topology And Spacetime Models written by Torsten Asselmeyer-maluga and published by World Scientific. This book was released on 2007-01-23 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent revolution in differential topology related to the discovery of non-standard (”exotic”) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit — but now shown to be incorrect — assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, Einstein's relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models.
Book Synopsis Library of Congress Subject Headings: F-O by : Library of Congress. Subject Cataloging Division
Download or read book Library of Congress Subject Headings: F-O written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1989 with total page 1534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cumulative Book Index written by and published by . This book was released on 1990 with total page 2232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.
Book Synopsis Geometric Topology: Localization, Periodicity and Galois Symmetry by : Dennis P. Sullivan
Download or read book Geometric Topology: Localization, Periodicity and Galois Symmetry written by Dennis P. Sullivan and published by Springer. This book was released on 2009-09-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seminal ‘MIT notes’ of Dennis Sullivan were issued in June 1970 and were widely circulated at the time. The notes had a - jor in?uence on the development of both algebraic and geometric topology, pioneering the localization and completion of spaces in homotopy theory, including p-local, pro?nite and rational homotopy theory, le- ing to the solution of the Adams conjecture on the relationship between vector bundles and spherical ?brations, the formulation of the ‘Sullivan conjecture’ on the contractibility of the space of maps from the classifying space of a ?nite group to a ?nite dimensional CW complex, theactionoftheGalois groupoverQofthealgebraicclosureQof Q on smooth manifold structures in pro?nite homotopy theory, the K-theory orientation ofPL manifolds and bundles. Some of this material has been already published by Sullivan him- 1 self: in an article in the Proceedings of the 1970 Nice ICM, and in the 1974 Annals of Mathematics papers Genetics of homotopy theory and the Adams conjecture and The transversality character- 2 istic class and linking cycles in surgery theory . Many of the ideas originating in the notes have been the starting point of subsequent 1 reprinted at the end of this volume 2 joint with John Morgan vii viii 3 developments . However, the text itself retains a unique ?avour of its time, and of the range of Sullivan’s ideas.
Book Synopsis Comprehensive Dissertation Index by :
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E by :
Download or read book Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E written by and published by . This book was released on 1984 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis F-O by : Library of Congress. Office for Subject Cataloging Policy
Download or read book F-O written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
