This is a slightly edited version of the transparencies for a seminar at UCL, May 7, 2003. It is intended to advertise the term `Non commutative algebraic topology' and to give a quick view of background, ideas, and some calculations, in the application of some non commutative methods to this area. 25 pages, in transparency format; printing the pdf file at 4 pages per A4 sheet is readable. Available as: math.AT/0305165 http://www.bangor.ac.uk/~mas010/noncommut-at.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 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) Centre for the Popularisation of Mathematics: http://www.cpm.informatics.bangor.ac.uk/ (reorganised site with new sculpture animations)