Piecewise Linear Topology
Download Piecewise Linear Topology full books in PDF, epub, and Kindle. Read online free Piecewise Linear Topology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Introduction to Piecewise Linear Topology
Author | : Colin P. Rourke,B.J. Sanderson |
Publsiher | : Springer Science & Business Media |
Total Pages | : 133 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642817359 |
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.
Piecewise Linear Topology
Author | : John F. P. Hudson |
Publsiher | : Unknown |
Total Pages | : 304 |
Release | : 1969 |
Genre | : Piecewise linear topology |
ISBN | : STANFORD:36105031261030 |
Download Piecewise Linear Topology Book in PDF, Epub and Kindle
Piecewise Linear Structures on Topological Manifolds
Author | : Yuli RUDYAK |
Publsiher | : World Scientific |
Total Pages | : 129 |
Release | : 2015-12-28 |
Genre | : Mathematics |
ISBN | : 9789814733793 |
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."--
Introduction to Piecewise linear Topology
![Introduction to Piecewise linear Topology](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Colin Patrick Rourke,Brian Joseph Sanderson |
Publsiher | : Unknown |
Total Pages | : 123 |
Release | : 1970 |
Genre | : Electronic Book |
ISBN | : OCLC:39246904 |
Download Introduction to Piecewise linear Topology Book in PDF, Epub and Kindle
Introduction to piecewise linear topology
![Introduction to piecewise linear topology](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : C. P. Rourke,B. J. Sanderson |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1972 |
Genre | : Differential topology |
ISBN | : OCLC:472172375 |
Download Introduction to piecewise linear topology Book in PDF, Epub and Kindle
Introduction to Piecewise Linear Topology
![Introduction to Piecewise Linear Topology](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Colin P Rourke,B. J. Sanderson |
Publsiher | : Unknown |
Total Pages | : 136 |
Release | : 1972-11-16 |
Genre | : Electronic Book |
ISBN | : 364281736X |
Download Introduction to Piecewise Linear Topology Book in PDF, Epub and Kindle
Grassmannians and Gauss Maps in Piecewise Linear Topology
Author | : Norman Levitt |
Publsiher | : Springer |
Total Pages | : 208 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540460787 |
Download Grassmannians and Gauss Maps in Piecewise Linear Topology Book in PDF, Epub and Kindle
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.
Smoothings of Piecewise Linear Manifolds
Author | : Morris W. Hirsch,Barry Mazur |
Publsiher | : Princeton University Press |
Total Pages | : 152 |
Release | : 1974-10-21 |
Genre | : Mathematics |
ISBN | : 069108145X |
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.