Author: Colin P. Rourke
Publisher: Springer Science & Business Media
ISBN: 3642817351
Category : Mathematics
Languages : en
Pages : 133
Book Description
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.
Introduction to Piecewise-Linear Topology
Author: Colin P. Rourke
Publisher: Springer Science & Business Media
ISBN: 3642817351
Category : Mathematics
Languages : en
Pages : 133
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3642817351
Category : Mathematics
Languages : en
Pages : 133
Book Description
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.
Introduction to Piecewise-linear Topology
Author: Colin Patrick Rourke
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
Book Description
Introduction to Piecewise-Linear Topology
Author: Colin P Rourke
Publisher:
ISBN: 9783642817366
Category :
Languages : en
Pages : 136
Book Description
Publisher:
ISBN: 9783642817366
Category :
Languages : en
Pages : 136
Book Description
Introduction to piecewise-linear topology
Author: C. P. Rourke
Publisher:
ISBN:
Category : Differential topology
Languages : de
Pages :
Book Description
Publisher:
ISBN:
Category : Differential topology
Languages : de
Pages :
Book Description
Piecewise Linear Topology
Author: John F. P. Hudson
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 304
Book Description
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 304
Book Description
A CONSTRUCTIVE VERSION OF PIECEWISE LINEAR TOPOLOGY..
Author: Cynthia Ann Blocher Brown
Publisher:
ISBN:
Category :
Languages : en
Pages : 161
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 161
Book Description
Piecewise Linear Topology
Author: John F. B. Hudson
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Piecewise Linear Topology
Author: John F. P. Hudson
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 282
Book Description
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 282
Book Description
General Position and Structural Stability in Piecewise Linear Topology
Author: David Allen Singer
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
Book Description
Smoothings of Piecewise Linear Manifolds
Author: Morris W. Hirsch
Publisher: Princeton University Press
ISBN: 9780691081458
Category : Mathematics
Languages : en
Pages : 152
Book Description
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.
Publisher: Princeton University Press
ISBN: 9780691081458
Category : Mathematics
Languages : en
Pages : 152
Book Description
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.