CLASS 1 What is a topology? What is a metric? What is a compact set? What is a continuous function? What is a connected space? What is a homeomorphism? Continuous image of compact set is compact. Roots to analysis. Role in computation by examples (papers that I have co-authored) Reading (at least skimming) these in advance would be good. 1. MPS & Taylor's Theorem (Mow, Peters, Stewart, 2003) 2. regular closed sets (Annals NYAS; Peters, Rosen, Dorney, 1994) 3. isotopy and knots (need for 1-1) (Amenta, Peters, Russell, 2003) Introduce problem paper & pass out copies CLASS 2 Go over previous papers Start problem selection CLASS 3 Jeff Lancaster CLASS 4 CLASS 5 CLASS 6