A preprint is available: R. Brown, G.Janelidze Galois theory and a new homotopy double groupoid of a map of spaces ABSTRACT: The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new homotopy double groupoid of a map of spaces, which includes constructions by others of a 2-groupoid, cat^1-group or crossed module. An advantage of our construction is that the double groupoid can give an algebraic model of a foliated bundle. Available from arXiv math.AT/0208211 or pdf file at http://www.bangor.ac.uk/~mas010/dgpsmap5.pdf Ronnie Brown School of Informatics, Mathematics Division, University of Wales, Bangor Dean St., Bangor, Gwynedd LL57 1UT, United Kingdom Tel. direct:+44 1248 382474|office: 382681 fax: +44 1248 361429 http://www.bangor.ac.uk/~mas010/ 28-Aug-2002 13:27:55 -0300,2098;000000000000-00000000