Rourke, C. P. (Colin Patrick) 1943Overview
Most widely held works by
C. P Rourke
A geometric approach to homology theory
by S Buoncristiano
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14 editions published in 1976 in English and held by 887 WorldCat member libraries worldwide The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories
Introduction to piecewiselinear topology
by C. P Rourke
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Book
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37 editions published between 1970 and 1982 in 3 languages and held by 655 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
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Book
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6 editions published in 1998 in English and held by 38 WorldCat member libraries worldwide
The Hauptvermutung book : a collection of papers of the topology of manifolds
by Alfred Joseph Casson
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3 editions published in 1996 in English and held by 18 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
The Princeton notes on the Hauptvermutung
by M. A Armstrong
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Book
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2 editions published in 1972 in English and held by 11 WorldCat member libraries worldwide
On the Kervaire obstruction
by C. P Rourke
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Book
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3 editions published between 1968 and 1970 in English and held by 7 WorldCat member libraries worldwide
Geometric approach to homology theory. Parts I and II
by C. P Rourke
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Book
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2 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
Block bundles and Sullivan theory
by C. P Rourke
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Book
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5 editions published between 1967 and 1970 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Vvedenie v kusochno lineĭnui︠u︡ topologii︠u︡
by C. P Rourke
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Book
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1 edition published in 1974 in Russian and held by 6 WorldCat member libraries worldwide
The hauptvermutung according to Sullivan
by C. P Rourke
(
Book
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1 edition published in 1968 in English and held by 5 WorldCat member libraries worldwide
Markov's theorem in 3 manifolds
by Sofia Lambropoulou
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Book
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1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide
On conjectures of Smale and others concerning the diffeomorphism group of Sn
by C. P Rourke
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Book
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2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
On topological neighbourhoods
by C. P Rourke
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Book
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2 editions published in 1969 in English and held by 3 WorldCat member libraries worldwide
Orientability
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Visual
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2 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide Program explains the meaning of orientability and nonorientability, and uses a variety of models and animations to show that every nonorientable surface must contain a Mobius band
Embedded handle theory, concordance and isotopy
by C. P Rourke
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Book
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2 editions published between 1969 and 1970 in English and held by 3 WorldCat member libraries worldwide
Some results on topological neighbourhoods
by C. P Rourke
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Book
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2 editions published between 1968 and 1970 in Undetermined and English and held by 3 WorldCat member libraries worldwide
[Delta]sets 2: block bundles and block fibrations
by C. P Rourke
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Book
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1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
An embedding without a normal microbundle
by C. P Rourke
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Book
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2 editions published between 1966 and 1969 in English and held by 2 WorldCat member libraries worldwide
Further pure mathematics
by L Bostock
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Book
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1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
[Delta]sets 1: homotopy theory
by C. P Rourke
(
Book
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1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide more
fewer
Audience Level
Related Identities
Associated Subjects
Algebra, Homological Algebraic topology Cell aggregationMathematics Cobordism theory 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 MathematicsStudy and teaching (Secondary) Möbius function Piecewise linear topology Topological manifolds Topology

Alternative Names
Rourke, C. P.
Rourke, Colin P.
Rourke, Colin P. 1943
Rourke, Colin P. (Colin Patrick), 1943
Rourke, Colin Patrick 1943
Rurk, K.
Рурк, К..
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