Colin P. Rourke

Q: What Schools Are Affiliated With Colin P. Rourke

Colin P. Rourke is affiliated with the following schools: University of Warwick, University of Cambridge

Colin P. Rourke's AcademicInfluence.com Rankings

Colin P. Rourke

Mathematics

#4465

World Rank

#6337

Historical Rank

Measure Theory

#2741

World Rank

#3274

Historical Rank

mathematics Degrees

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Mathematics

Why Is Colin P. Rourke Influential?

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According to Wikipedia, Colin Rourke is a British mathematician who worked in PL topology, low-dimensional topology, differential topology, group theory, relativity and cosmology. He is an emeritus professor at the Mathematics Institute of the University of Warwick and a founding editor of the journals Geometry & Topology and Algebraic & Geometric Topology, published by Mathematical Sciences Publishers, where he is the vice chair of its board of directors.

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Colin P. Rourke's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to Piecewise-Linear Topology (1972) (1112)
RACKS AND LINKS IN CODIMENSION TWO (1992) (489)
The braid-permutation group (1997) (198)
Trunks and classifying spaces (1995) (197)
On Kirby's calculus of links (1979) (149)
A Geometric Approach to Homology Theory (1976) (127)
Problems on invariants of knots and 3-manifolds (2004) (118)
Δ-SETS I: HOMOTOPY THEORY (1971) (102)
Ordering the braid groups (1998) (99)
Block bundles: I (1968) (87)
Braid presentation of virtual knots and welded knots (2000) (84)
Markov's theorem in 3-manifolds (1997) (81)
The rack space (2003) (80)
An Introduction to Species and the Rack Space (1993) (72)
The compression theorem I (1997) (66)
On the Kervaire Obstruction (1971) (61)
James Bundles and Applications (1996) (52)
THE SINGULAR BRAID MONOID EMBEDS IN A GROUP (1998) (46)
Order automatic mapping class groups (2000) (44)
HOMOLOGICAL CHARACTERIZATION OF THE UNKNOT (2003) (42)
KLYACHKO''S METHODS AND THE SOLUTION OF EQUATIONS OVER TORSION-FREE GROUPS (1996) (35)
Presentations and the trivial group (1979) (34)
James bundles (2003) (30)
THE EXISTENCE OF COMBINATORIAL FORMULAE FOR CHARACTERISTIC CLASSES (1978) (30)
An embedding without a normal microbundle (1967) (30)
Algebraic Markov equivalence for links in three-manifolds (2006) (26)
Algebraic Markov equivalence for links in 3-manifolds (2004) (25)
A new classification of links and some calculations using it (2000) (25)
Block Bundles: III. Homotopy Theory (1968) (25)
The homotopy type of homeomorphisms of 3-manifolds (1979) (24)
Diagrams and the second homotopy group (2003) (23)
There are two 2-twist-spun trefoils (2000) (23)
A New Proof that 3 is Zero (1985) (22)
ALGORITHMIC AND COMPUTER METHODS FOR THREE-MANIFOLDS (Mathematics and its Applications 425) By A. T. F OMENKO and S. V. M ATVEEV : 352 pp., £109.00, ISBN 0 7923 4770 6 (Kluwer Academic Publishers, 1997). (2000) (18)
The surjectivity problem for one-generator, one-relator extensions of torsion-free groups (2000) (18)
The Hauptvermutung according to Casson and Sullivan (1996) (16)
Δ-SETS II: BLOCK BUNDLES AND BLOCK FIBRATIONS (1971) (15)
Characterisation of a class of equations with solutions over torsion-free groups (1998) (14)
The compression theorem II: directed embeddings (2000) (14)
Representing homology classes (1973) (13)
Homology stratifications and intersection homology (1999) (13)
Some Remarks on the Braid-Permutation Group (1993) (13)
TOPOLOGY SEMINAR WISCONSIN, 1965 (1968) (11)
Heegaard diagrams and homotopy 3-spheres (1988) (10)
Equivariant Configuration Spaces (1997) (10)
The Hauptvermutung book : a collection of papers of the topology of manifolds (1996) (9)
Natural observer fields and redshift (2011) (7)
WHAT IS A WELDED LINK (2007) (7)
The compression theorem III: applications (2003) (6)
Nice spines of 3-manifolds (1979) (6)
COVERING THE TRACK OF AN ISOTOPY (1967) (5)
Directed embeddings: a short proof of Gromov's theorem (2000) (5)
On dunce hats and the Kervaire conjecture (1988) (5)
Are gamma-ray bursts optical illusions ? (2016) (4)
The Princeton notes on the Hauptvermutung (1996) (4)
The adjunction problem over torsion-free groups. (2004) (3)
Natural flat observer fields in spherically symmetric space-times (2015) (3)
A note on complementary spines (1967) (3)
A new approach to immersion theory (1999) (3)
Algebraic Markov equivalence for links in 3manifolds (submitted for publication). See arXiv:math.GT/0405493 v1 (2004) (3)
Some results on topological neighbourhoods (1970) (2)
Order Automatic Mapping Class Groups Order Automatic Mapping Class Groups (2007) (2)
Free involutions on homotopy $\left( {4k + 3} \right)$-spheres (1968) (2)
A new paradigm for the universe (2003) (2)
IMPROPER EMBEDDINGS OF P.L. SPHERES AND BALLS (1967) (2)
A new paradigm for the structure of galaxies (2010) (1)
Sciama’s principle and the dynamics of galaxies III: Spiral structure (2016) (1)
Sciama’s principle and the dynamics of galaxies III: Spiral structure (2016) (1)
Coda: connection with the results of Kirby and Siebenmann (1996) (1)
A new paradigm for the structure of galaxies (2010) (1)
Decompositions and the relative tubular neighbourhood conjecture (1970) (1)
Notes on de Sitter space (2011) (1)
Notes on de Sitter space (2011) (1)
A counter-example to the three balls problem (1969) (1)
FREE INVOLUTIONS ON HOMOTOPY (4&+3)-SPHERES (2007) (1)
A Geometric Approach to Homology Theory: Coefficients (1976) (1)
A Geometric Approach to Homology Theory: Equivariant theories and operations (1976) (0)
Scripta Manent: Geometry & Topology: A Community-Based Publishing Initiative (2012) (0)
Approximating a topological section by a piecewise-linear section (2016) (0)
Angular momentum , inertial drag and tangential velocity in a rotating dynamical system (2016) (0)
Angular momentum , inertial drag and tangential velocity in a rotating dynamical system (2016) (0)
Mach’s principle and the dynamics of galaxies (2012) (0)
Mach’s principle and the dynamics of galaxies (2012) (0)
G T / 0 30 42 28 v 2 1 5 Ju n 20 03 The rack space (2003) (0)
A new paradigm for the universe (preliminary version) (2003) (0)
G T ] 3 0 Ja n 20 03 The compression theorem III : applications (2003) (0)
Characterisation of a class of equationswith solutions over torsion-free groupsRoger (2007) (0)
G T ] 1 6 A pr 2 00 3 The rack space (2008) (0)
A T / 0 30 13 54 v 1 3 0 Ja n 20 03 James bundles (2003) (0)
INVOLUTIONS ON MANIFOLDS (1974) (0)
G T ] 3 D ec 1 99 7 Equivariant configuration spaces (2008) (0)
A program to search for homotopy 3–spheres (1999) (0)
G T ] 3 S ep 1 99 8 Ordering the braid groups (1998) (0)
Pairs of Polyhedra and Isotopies (1982) (0)
Geometry & Topology Monographs Homology Stratiications and Intersection Homology (2007) (0)
G T ] 8 J un 2 00 0 There are two 2 – twist-spun trefoils (2008) (0)
Geometry & Topology Publications: A Community Based Publishing Initiative (2002) (0)
G T ] 2 5 Ja n 20 01 The compression theorem (2009) (0)
J un 2 00 3 Diagrams and the second homotopy group (2008) (0)
pinlabel A T E X labelling package (2006) (0)
A Geometric Approach to Homology Theory: Homotopy functors (1976) (0)
A T ] 3 0 Ja n 20 03 James bundles (2003) (0)
A pr 2 00 5 The adjunction problem and a theorem of Serre Max (2005) (0)
The Geometry of the Universe (2021) (0)
Black holes, redshift and quasars (2016) (0)
G T ] 1 9 Ja n 20 01 Equivariant configuration spaces (2001) (0)
Mach's principle and the dynamics of galaxies: v2 Nov 2012 (2012) (0)
A new paradigm for the universe. (arXiv:astro-ph/0311033v5 UPDATED) (2019) (0)
On conjectures of Smale and others concerning the diffeomorphism group of S[n] and on structure theorems (1972) (0)
Equivariant con guration spaces (2013) (0)
THE LICKORISH-WALLACE THEOREM (2019) (0)
General Position and Applications (1982) (0)
The adjunction problem and a theorem of Serre (2021) (0)
of Mathematics ORDER AUTOMATIC MAPPING CLASS GROUPS (2006) (0)
Haken characterisation of S 3 Colin RourkeCharacterisation of the three sphere following HakenColin (2007) (0)
WHAT IS A WELDED LINK? corrected version (2018) (2018) (0)
A geometric alternative to dark matter (2019) (0)
G T ] 1 5 Ju n 20 03 The rack space (2008) (0)
The geometry of CW complexes (1976) (0)
Polyhedra and P.L. Maps (1982) (0)
A NEW PROOF THAT O, IS ZERO (2006) (0)
Further topics for authors (1996) (0)
Model Categories and Tqft's Model Categories and Topological Quantum Eld Theories (2007) (0)
A FIXED POINT THEOREM AND RELATIVE ASPHERICITY by Max FORESTERand (2005) (0)
A T ] 1 8 O ct 2 00 4 Diagrams and the second homotopy group (2008) (0)
Geometry & topology: a community-based publishing initiative (2012) (0)
Pacific Journal of Mathematics ORDER AUTOMATIC MAPPING CLASS GROUPS (2006) (0)
SOME RESULTS ON TOPOLOGICAL NEIGHBOURHOODS BY C. P. ROURKE AND B. J. SANDERSON (2007) (0)
Towards a scientific theory for astrology (2020) (0)

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What Schools Are Affiliated With Colin P. Rourke?

Colin P. Rourke is affiliated with the following schools: