Nonabelian Algebraic Topology

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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.
11 pages, xypic, presentation to Workshop on n-categories: foundations and applications, IMA Minneapolis, June 7-18, 2004 version 2: additional column on p. 4 table and correction on place of k-invariant

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