  This talk gave a sketch of the contents and background to a book with the
title `Nonabelian algebraic topology' being written under support of a
Leverhulme Emeritus Fellowship (2002-2004) by the speaker and Rafael Sivera
(Valencia). The aim is to give in one place a full account of work by R. Brown
and P.J. Higgins since the 1970s which defines and applies crossed complexes
and cubical higher homotopy groupoids in algebraic topology and group
cohomology.
