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Author : Mark Anthony Armstrong
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (195 download)
Download or read book Lectures on the Hauptvermutung According to Lashof and Rothenberg written by Mark Anthony Armstrong and published by . This book was released on 1967* with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.A. Ranicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401733430
Total Pages : 192 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Hauptvermutung Book written by A.A. Ranicki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory led to the disproof of the high-dimensional manifold Hauptvermutung in the late 1960's. Unfortunately, the published record of the manifold Hauptvermutung has been incomplete, as was forcefully pointed out by Novikov in his lecture at the Browder 60th birthday conference held at Princeton in March 1994. This volume brings together the original 1967 papers of Casson and Sulli van, and the 1968/1972 'Princeton notes on the Hauptvermutung' of Armstrong, Rourke and Cooke, making this work physically accessible. These papers include several other results which have become part of the folklore but of which proofs have never been published. My own contribution is intended to serve as an intro duction to the Hauptvermutung, and also to give an account of some more recent developments in the area. In preparing the original papers for publication, only minimal changes of punctuation etc.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1969 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. H. Kuiper
Publisher : Springer
ISBN 13 : 3540366539
Total Pages : 240 pages
Book Rating : 4.5/5 (43 download)
Download or read book Manifolds - Amsterdam 1970 written by N. H. Kuiper and published by Springer. This book was released on 2006-11-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (36 download)
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1971 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Cecil Cantrell
Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topology of Manifolds written by James Cecil Cantrell and published by . This book was released on 1970 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I.M. James
Publisher : Elsevier
ISBN 13 : 0080534074
Total Pages : 1067 pages
Book Rating : 4.0/5 (85 download)
Download or read book History of Topology written by I.M. James and published by Elsevier. This book was released on 1999-08-24 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Author :
Publisher :
ISBN 13 :
Total Pages : 662 pages
Book Rating : 4.3/5 (2 download)
Download or read book The National union catalog, 1968-1972 written by and published by . This book was released on 1973 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.:/5 (321 download)
Download or read book The National Union Catalogs, 1963- written by and published by . This book was released on 1964 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.:/5 (89 download)
Download or read book National Union Catalog written by and published by . This book was released on 1968 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.
Author : Yuli Rudyak
Publisher : World Scientific
ISBN 13 : 9814733806
Total Pages : 129 pages
Book Rating : 4.8/5 (147 download)
Download or read book Piecewise Linear Structures On Topological Manifolds written by Yuli Rudyak and published by World Scientific. This book was released on 2015-12-28 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s-early 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture.The goal of this book is to provide a readable and well-organized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking.
Author :
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.:/5 (36 download)
Download or read book Annals of Mathematics written by and published by . This book was released on 1976 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.E/5 ( download)
Download or read book Symposia Mathematica written by and published by . This book was released on 1972 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Willard Milnor
Publisher : Princeton University Press
ISBN 13 : 9780691081229
Total Pages : 342 pages
Book Rating : 4.0/5 (812 download)
Download or read book Characteristic Classes written by John Willard Milnor and published by Princeton University Press. This book was released on 1974 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Author : Charles Terence Clegg Wall
Publisher : American Mathematical Soc.
ISBN 13 : 0821809423
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Surgery on Compact Manifolds written by Charles Terence Clegg Wall and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
Author : R. James Milgram
Publisher : American Mathematical Soc.
ISBN 13 : 082181432X
Total Pages : 422 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic and Geometric Topology, Part 1 written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Algebraic $K$- and $L$-theory, Surgery and its applications, Group actions.
Author :
Publisher :
ISBN 13 :
Total Pages : 1028 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt:
