Introduction To Piecewise Linear Topology PDF Download
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Author | : Colin P. Rourke |
Publisher | : Springer Science & Business Media |
Total Pages | : 133 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642817351 |
Download Introduction to Piecewise-Linear Topology Book in PDF, ePub and Kindle
The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.
Author | : Colin Patrick Rourke |
Publisher | : |
Total Pages | : 123 |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Introduction to Piecewise-linear Topology Book in PDF, ePub and Kindle
Author | : Colin P Rourke |
Publisher | : |
Total Pages | : 136 |
Release | : 1972-11-16 |
Genre | : |
ISBN | : 9783642817366 |
Download Introduction to Piecewise-Linear Topology Book in PDF, ePub and Kindle
Author | : C. P. Rourke |
Publisher | : |
Total Pages | : |
Release | : 1972 |
Genre | : Differential topology |
ISBN | : |
Download Introduction to piecewise-linear topology Book in PDF, ePub and Kindle
Author | : John F. P. Hudson |
Publisher | : |
Total Pages | : 190 |
Release | : 1967 |
Genre | : Differential topology |
ISBN | : |
Download Piecewise Linear Topology Book in PDF, ePub and Kindle
Author | : Yuli Rudyak |
Publisher | : World Scientific |
Total Pages | : 128 |
Release | : 2015-12-28 |
Genre | : Mathematics |
ISBN | : 9814733806 |
Download Piecewise Linear Structures on Topological Manifolds Book in PDF, ePub and Kindle
' 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. Contents: PrefaceIntroductionGraphArchitecture of the ProofNormal InvariantApplications and Consequences of the Main TheoremAppendix: Quinn''s Proof of Product Structure Theorem Readership: Researchers working in manifolds, algebraic topology, and K-theory. Key Features:First systematic treatment of the subjectNew treatment of certain topicsKeywords:Hauptvermutung;Triangulation Conjecture'
Author | : Morris W. Hirsch |
Publisher | : Princeton University Press |
Total Pages | : 152 |
Release | : 1974-10-21 |
Genre | : Mathematics |
ISBN | : 9780691081458 |
Download Smoothings of Piecewise Linear Manifolds Book in PDF, ePub and Kindle
The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.
Author | : Kristine K. Fowler |
Publisher | : CRC Press |
Total Pages | : 475 |
Release | : 2004-05-25 |
Genre | : Language Arts & Disciplines |
ISBN | : 1482276445 |
Download Using the Mathematics Literature Book in PDF, ePub and Kindle
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati
Author | : Michiel Hazewinkel |
Publisher | : Springer Science & Business Media |
Total Pages | : 540 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 9400959885 |
Download Encyclopaedia of Mathematics Book in PDF, ePub and Kindle
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author | : M. Hazewinkel |
Publisher | : Springer |
Total Pages | : 952 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1489937935 |
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