Author | Moise, Edwin E. author |
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Title | Geometric Topology in Dimensions 2 and 3 [electronic resource] / by Edwin E. Moise |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1977 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-9906-6 |
Descript | X, 262 p. online resource |
0 Introduction -- 1 Connectivity -- 2 Separation properties of polygons in R2 -- 3 The Schรถnflies 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 Schรถnflies 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 Schรถnflies 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: Stallingsโs 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