Rourke, C. P. (Colin Patrick) 1943
Overview
Works:  34 works in 138 publications in 4 languages and 2,198 library holdings 

Genres:  Criticism, interpretation, etc Conference papers and proceedings Drama Humor 
Roles:  Author 
Classifications:  PS430, 817.09 
Publication Timeline
.
Most widely held works by
C. P Rourke
Introduction to piecewiselinear topology by
C. P Rourke(
Book
)
50 editions published between 1970 and 1982 in 5 languages and held by 672 WorldCat member libraries worldwide
The first five chapters of this book form an introductory course in piece wiselinear 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 pointset 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 scobordism 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
50 editions published between 1970 and 1982 in 5 languages and held by 672 WorldCat member libraries worldwide
The first five chapters of this book form an introductory course in piece wiselinear 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 pointset 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 scobordism 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
Further pure mathematics by
L Bostock(
Book
)
10 editions published between 1982 and 2002 in English and held by 121 WorldCat member libraries worldwide
10 editions published between 1982 and 2002 in English and held by 121 WorldCat member libraries worldwide
The Epstein birthday schrift : papers delivered to David Epstein on the occasion of his 60th birthday, 16 May 1997 by
Igor Rivin(
Book
)
6 editions published in 1998 in English and held by 31 WorldCat member libraries worldwide
6 editions published in 1998 in English and held by 31 WorldCat member libraries worldwide
The Princeton notes on the Hauptvermutung by
M. A Armstrong(
Book
)
4 editions published in 1972 in English and held by 14 WorldCat member libraries worldwide
4 editions published in 1972 in English and held by 14 WorldCat member libraries worldwide
On the Kervaire obstruction by
C. P Rourke(
Book
)
3 editions published between 1968 and 1970 in English and held by 8 WorldCat member libraries worldwide
3 editions published between 1968 and 1970 in English and held by 8 WorldCat member libraries worldwide
On topological neighbourhoods by
C. P Rourke(
Book
)
4 editions published between 1968 and 1970 in English and Undetermined and held by 7 WorldCat member libraries worldwide
4 editions published between 1968 and 1970 in English and Undetermined and held by 7 WorldCat member libraries worldwide
Geometric approach to homology theory. Parts I and II by
C. P Rourke(
Book
)
2 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
The hauptvermutung according to Sullivan by
C. P Rourke(
Book
)
2 editions published in 1968 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 6 WorldCat member libraries worldwide
On conjectures of Smale and others concerning the diffeomorphism group of Sn by
C. P Rourke(
Book
)
2 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Markov's theorem in 3 manifolds by
Sofia Lambropoulou(
Book
)
2 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
Block bundles and Sullivan theory by
C. P Rourke(
Book
)
2 editions published between 1967 and 1970 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1967 and 1970 in English and held by 3 WorldCat member libraries worldwide
Block bundles by
C. P Rourke(
Book
)
3 editions published in 1968 in English and Undetermined and held by 3 WorldCat member libraries worldwide
3 editions published in 1968 in English and Undetermined and held by 3 WorldCat member libraries worldwide
Occupational health considerations in the design and construction of offshore installations by
Chris Rourke(
Book
)
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
American humor : a study of the national character by
Constance Rourke(
Book
)
2 editions published between 1942 and 1960 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1942 and 1960 in English and held by 3 WorldCat member libraries worldwide
Embedded handle theory, concordance and isotopy by
C. P Rourke(
Book
)
2 editions published between 1969 and 1970 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1969 and 1970 in English and held by 3 WorldCat member libraries worldwide
The Hauptvermutung book : a collection of papers of the topology of manifolds by
Alfred Joseph Casson(
)
3 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for lowdimensional polyhedra, and it might have been expected that further development of highdimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed highdimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. Then, the development of surgery theory led to the disproof of the highdimensional manifold Hauptvermutung in the late 1960s. Up to now, the published record of the Hauptvermutung has been incomplete. This volume brings together the original papers of Casson and Sullivan (1967), and the `Princeton Notes on the Hauptvermutung' of Armstrong, Rourke and Cooke (1968/1972). They include several results which have become part of mathematical folklore, but of which proofs had never been published. The material is complemented by an introduction on the Hauptvermutung and an account of recent developments in the area. Also, references have been updated wherever possible. Audience: This book will be valuable to all mathematicians interested in the topology of manifolds, geometry, and differential geometry
3 editions published in 1996 in English and held by 3 WorldCat member libraries worldwide
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for lowdimensional polyhedra, and it might have been expected that further development of highdimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed highdimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. Then, the development of surgery theory led to the disproof of the highdimensional manifold Hauptvermutung in the late 1960s. Up to now, the published record of the Hauptvermutung has been incomplete. This volume brings together the original papers of Casson and Sullivan (1967), and the `Princeton Notes on the Hauptvermutung' of Armstrong, Rourke and Cooke (1968/1972). They include several results which have become part of mathematical folklore, but of which proofs had never been published. The material is complemented by an introduction on the Hauptvermutung and an account of recent developments in the area. Also, references have been updated wherever possible. Audience: This book will be valuable to all mathematicians interested in the topology of manifolds, geometry, and differential geometry
An embedding without a normal microbundle by
C. P Rourke(
Book
)
2 editions published between 1966 and 1969 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1966 and 1969 in English and held by 2 WorldCat member libraries worldwide
[Delta]sets 1: homotopy theory by
C. P Rourke(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
[Delta]sets 2: block bundles and block fibrations by
C. P Rourke(
Book
)
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
Orientability(
Visual
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
If you send a lockface round a Mobius band, then after one circuit, the sense of clockwise reverses to anticlockwise. In contrast, on the cylinder, you can assign a sense of clockwise of each point which is matched by a travelling clock, no matter what journey it makes. The cylinder is said to be "orientable" and the Mobius band "nonorientable". This programme uses a variety of models and animations to show that every nonorientable surface must contain a Mobius band
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
If you send a lockface round a Mobius band, then after one circuit, the sense of clockwise reverses to anticlockwise. In contrast, on the cylinder, you can assign a sense of clockwise of each point which is matched by a travelling clock, no matter what journey it makes. The cylinder is said to be "orientable" and the Mobius band "nonorientable". This programme uses a variety of models and animations to show that every nonorientable surface must contain a Mobius band
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Algebra, Homological Algebraic topology American literature American wit and humor Cell aggregationMathematics Diffeomorphisms Differential topology Epstein, D. B. A Geometry Geometry, Hyperbolic Global differential geometry Great Britain Group theory Hauptvermutung (Topology) Homology theory Homotopy theory Lowdimensional topology Manifolds (Mathematics) Mathematics MathematicsExaminations, questions, etc MathematicsStudy and teaching (Secondary) Melville, Herman, Möbius function Mormons National characteristics, American National characteristics, American, in literature Offshore structuresDesign and construction Offshore structuresSafety measures Piecewise linear topology Topological manifolds Topology