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Publications Influence

Introduction to Piecewise-Linear Topology

- C. Rourke, B. Sanderson
- Mathematics
- 1972

1. Polyhedra and P.L. Maps.- Basic Notation.- Joins and Cones.- Polyhedra.- Piecewise-Linear Maps.- The Standard Mistake.- P. L. Embeddings.- Manifolds.- Balls and Spheres.- The Poincare Conjecture… Expand

999 52

A Geometric Approach to Homology Theory

- S. Buonchristiano, C. Rourke, B. Sanderson
- Mathematics
- 30 April 1976

1. Homotopy functors 2. Mock bundles 3. Coefficients 4. Geometric theories 5. Equivariant theories and operations 6. Sheaves 7. The geometry of CW complexes.

115 14

Trunks and classifying spaces

- R. Fenn, C. Rourke, B. Sanderson
- Mathematics, Computer Science
- Appl. Categorical Struct.
- 1 December 1995

Trunks are objects loosely analogous to categories. Like a category, a trunk has vertices and edges (analogous to objects and morphisms), but instead of composition (which can be regarded as given by… Expand

170 13

Towards optimizing rowing technique.

- B. Sanderson, W. Martindale
- Mathematics, Medicine
- Medicine and science in sports and exercise
- 1 August 1986

An equation is developed (and solved) to describe the speed of a rowing boat as a function of the movement of the sculler's center of mass relative to the boat and the force applied. A method is… Expand

80 8

The compression theorem I

- C. Rourke, B. Sanderson
- Mathematics
- 9 December 1997

This the first of a set of three papers about the Compression Theorem: if M^m is embedded in Q^q X R with a normal vector field and if q-m > 0, then the given vector field can be straightened (ie,… Expand

57 7- PDF

The rack space

- R. Fenn, C. Rourke, B. Sanderson
- Mathematics
- 16 April 2003

The main result of this paper is a new classification theorem for links (smooth embeddings in codimension 2). The classifying space is the rack space and the classifying bundle is the first James… Expand

67 4- PDF

James Bundles and Applications

- R. Fenn, C. Rourke, B. Sanderson
- Mathematics
- 1996

SUMMARY We study cubical sets without degeneracies, which we call {sets. These sets arise naturally in a number of settings and there is a beautiful geometry associated with them; in particular a… Expand

37 4- PDF

An Introduction to Species and the Rack Space

- R. Fenn, C. Rourke, B. Sanderson
- Mathematics
- 1993

Racks were introduced in [FR]. In this paper we define a natural category like object, called a species.* A particularly important species is associated with a rack. A species has a nerve, analogous… Expand

66 3

Self-intersections and higher Hopf invariants

- Ulrich Koschorke, B. Sanderson
- Mathematics
- 1978

IN THIS paper we show how the well known models for loop spaces of Boardman and Vogt [3], James [5], May [9], and Segal[ lo], can be viewed in a natural way as “Thorn spaces for immersions”. Thus… Expand

72 3

Problems on invariants of knots and 3-manifolds

- J. E. Andersen, N. Askitas, +57 authors Y. Yokota
- Mathematics
- 1 June 2004

This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing open problems given in… Expand

101 2- PDF

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