Colloquium Publications 1983; 238 pp; softcover Volume: 40 Reprint/Revision History: fourth printing 2001 ISBN10: 0821810405 ISBN13: 9780821810408 List Price: US$90 Member Price: US$72 Order Code: COLL/40
 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 3spacethe 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. Table of Contents  Planar complexes
 PL planar maps
 The Schoenflies theorem
 Wild 2spheres
 The generalized Schoenflies theorem
 The fundamental group
 Mapping onto spheres
 Linking
 Separation
 Pulling back feelers
 Intersections of surfaces with \(1\)simplexes
 Intersections of surfaces with skeleta
 Side approximation theorem
 The PL Schoenflies theory for \(R^3\)
 Covering spaces
 Dehn's lemma
 Loop theorem
 Related results
 AppendiX: Some standard results in topology
 References
 Index
