We introduce groupoids – generalisations of groups in which not all pairs of elements may be multiplied, or, equivalently, categories in which all morphisms are invertible – as...
Ian P. Gent, Tom Kelsey, S. A. Linton, J. Pearson,...
The aim of this paper is twofold. On one hand we present an approach to the general problem of nonlinear control in the framework of (differentiable) groupoids, which, in our opin...
A spontaneous symmetry breaking argument is applied to the problem of protein form, via a Rate Distortion analysis of the relation between genome coding and the final condensation...
Symmetry equations are obtained for the rigidity matrix of a bar-joint framework in Rd . These form the basis for a short proof of the FowlerGuest symmetry group generalisation of...
We introduce the notion of a candidate for “multiple valued universal constructions” and define stable functors (which generalise functors with left adjoints) in terms of fac...