I forgot that of course the dvi file on my previous message would not go out to the list! So here is a url of a draft on k-spaces - comments welcome. http://www.bangor.ac.uk/~mas010/k-spaces2.pdf (7 pages) While I'm writing, I have some other material in pdf format as follows. http://www.bangor.ac.uk/~mas010/multiple-apj.pdf This is a revised version of the paper with Al-Agl and Steiner on the equivalence of the cubical and globular approach to strict multiple categories. It is provisionally accepted for Advances in Math. (44 pages) http://www.bangor.ac.uk/~mas010/probamtx.pdf `Some problems in non-abelian homotopical and homological algebra'. This is LateX version of a paper from a 1988 homotopy theory conference published in 1999. It contains 35 problems or problem areas and a few comments now on what has been solved since then. Is it all old hat? (26 pages) http://www.bangor.ac.uk/~mas010/korea3.pdf Free crossed resolutions for graph products and amalgamated sums of groups (Brown, Bullejos, Porter) (18 pages) This uses free crossed resolutions to calculate higher homotopical syzygies, using also homotopy colimits and generalised Van Kampen Theorems. Ronnie -- Prof R. 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 World Wide Web: home page: http://www.bangor.ac.uk/~mas010/ (Links to survey articles: Higher dimensional group theory Groupoids and crossed objects in algebraic topology) Raising Public Awareness of Mathematics CDRom Version 1.1 http://www.bangor.ac.uk/~mas010/CDadvert.html Symbolic Sculpture and Mathematics: http://www.cpm.informatics.bangor.ac.uk/sculmath/ Centre for the Popularisation of Mathematics http://www.cpm.informatics.bangor.ac.uk/