54 citations · 110 across the 18 of their papers we have counts for
5 papers · 1 filter
A new paradigm for the universe
Colin Rourke
This book provides a completely new approach to understanding the universe. The main idea is that the principal objects in the universe form a spectrum unified by the presence of a…
Diagrams and the second homotopy group
Max Forester, Colin Rourke
We use Klyachko's methods [A funny property of sphere and equations over groups, Comm. in Alg. 21 (1993) 2555--2575] (see also Fenn-Rourke, L'Enseignment Math. 42 (1996) 49--74 and…
The rack space
Roger Fenn, Colin Rourke, Brian Sanderson
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 (defined in [Trunks and classi…
James bundles
Roger Fenn, Colin Rourke, Brian Sanderson
We study cubical sets without degeneracies, which we call square sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particula…
The compression theorem III: applications
Colin Rourke, Brian Sanderson
This is the third 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 straigh…