0 Introduction. - 1 Connectivity. - 2 Separation properties of polygons in R2. - 3 The Schönflies theorem for polygons in R2. - 4 The Jordan curve theorem. - 5 Piecewise linear homeomorphisms. - 6 PL approximations of homeomorphisms. - 7 Abstract complexes and PL complexes. - 8 The triangulation theorem for 2-manifolds. - 9 The Schönflies theorem. - 10 Tame imbedding in R2. - 11 Isotopies. - 12 Homeomorphisms between Cantor sets. - 13 Totally disconnected compact sets in R2. - 14 The fundamental group (summary). - 15 The group of (the complement of) a link. - 16 Computations of fundamental groups. - 17 The PL Schönflies theorem in R3. - 18 The Antoine set. - 19 A wild arc with a simply connected complement. - 20 A wild 2-sphere with a simply connected complement. - 21 The Euler characteristic. - 22 The classification of compact connected 2-manifolds. - 23 Triangulated 3-manifolds. - 24 Covering spaces. - 25 The Stallings proof of the loop theorem of Papakyriakopoulos. - 26 Bicollar neighborhoods; an extension of the loop theorem. - 27 The Dehn lemma. - 28 Polygons in the boundary of a combinatorial solid torus. - 29 Limits on the loop theorem: Stallings's example. - 30 Polyhedral interpolation theorems. - 31 Canonical configurations. - 32 Handle decompositions of tubes. - 33 PLH approximations of homeomorphisms for regular neighborhoods of linear graphs in R3. - 34 PLH approximations of homeomorphisms for polyhedral 3-cells. - 35 The Triangulation theorem. - 36 The Haupt?ermutung; tame imbedding. Language: English