The Geometric Topology of 3-manifolds, Volume 40 (Google eBook)

Front Cover
American Mathematical Soc., 1983 - Mathematics - 238 pages
1 Review
This book belongs in both graduate and undergraduate libraries as a useful reference for students and researchers in topology. It is directed toward mathematicians interested in geometry who have had at least a beginning course in topology. It should provide the reader with a better understanding of the physical properties of Euclidean 3-space--the space in which we presume we live. The reader should learn of some unsolved problems that continue to baffle reseachers. The most profound result in the volume is the side approximation theorem. However, some of the preliminary results and some of the applications may be used more frequently for reference.
  

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Contents

Planar Complexes
1
PL Planar Maps
9
The Schoenflies Theorem
19
Wild 2Spheres
33
the Generalized Schoenflies Theorem
57
The Fundamental Group
69
Mapping onto Spheres
97
Linking
105
Intersections of Surfaces with 1Simplexes
131
Intersections of Surfaces with Skeleta
141
Side Approximation Theorem
151
The PL Schoenflies Theorem for R
161
Covering Spaces
175
Dehns Lemma
183
The Loop Theorem
203
Related Results
211

Separation
115
Pulling Back Feelers
121

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Page 231 - MK Fort, Jr., A note concerning a decomposition space defined by Bing, Ann. of Math. (2) 65 (1957), 501504.

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