Geometric Topology in Dimensions 2 and 3 - Moise, E. E.

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Sommaire:
0 Introduction.- 1 Connectivity.- 2 Separation properties of polygons in R2.- 3 The Sch?nflies 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 Sch?nflies 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 Sch?nflies 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.