### AlgTop19a: An algebraic ZIP proof of the classification

In this lecture we sketch an algebraic version of Conway's ZIP proof of the classification of two-dimensional surfaces. One key idea is to replace the basic polygons in the standard proof with spheres with holes in them. We introduce an algebraic notation that allows us to manipulate (ZIP) edges together between holes on spheres.This is the first video of the 19th lecture of this beginner's course in Algebraic Topology, given by N J Wildberger of the School of Mathematics and Statistics at UNSW.NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures):http://www.youtube.com/playlist?list=PL6763F57A61FE6FE8&feature=view_all

Length:
14:14