Lectures On The Hauptvermutung According To Lashof And Rothenberg PDF Download
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Author | : Mark Anthony Armstrong |
Publisher | : |
Total Pages | : 26 |
Release | : 1967* |
Genre | : Topology |
ISBN | : |
Download Lectures on the Hauptvermutung According to Lashof and Rothenberg Book in PDF, ePub and Kindle
Author | : A.A. Ranicki |
Publisher | : Springer Science & Business Media |
Total Pages | : 192 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401733430 |
Download The Hauptvermutung Book Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 652 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |
Download Bulletin of the American Mathematical Society Book in PDF, ePub and Kindle
Author | : N. H. Kuiper |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540366539 |
Download Manifolds - Amsterdam 1970 Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 536 |
Release | : 1971 |
Genre | : Mathematics |
ISBN | : |
Download Transactions of the American Mathematical Society Book in PDF, ePub and Kindle
Author | : James Cecil Cantrell |
Publisher | : |
Total Pages | : 534 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : |
Download Topology of Manifolds Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 662 |
Release | : 1973 |
Genre | : Union catalogs |
ISBN | : |
Download The National union catalog, 1968-1972 Book in PDF, ePub and Kindle
Author | : I.M. James |
Publisher | : Elsevier |
Total Pages | : 1067 |
Release | : 1999-08-24 |
Genre | : Mathematics |
ISBN | : 0080534074 |
Download History of Topology Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 672 |
Release | : 1964 |
Genre | : American literature |
ISBN | : |
Download The National Union Catalogs, 1963- Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 664 |
Release | : 1968 |
Genre | : Union catalogs |
ISBN | : |
Download National Union Catalog Book in PDF, ePub and Kindle
Includes entries for maps and atlases.