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Softcover ISBN:  9780821810408 
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Product Code:  COLL/40.B 
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Softcover ISBN:  9780821810408 
Product Code:  COLL/40 
List Price:  $75.00 
MAA Member Price:  $67.50 
AMS Member Price:  $60.00 
eBook ISBN:  9781470431860 
Product Code:  COLL/40.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
Softcover ISBN:  9780821810408 
eBook ISBN:  9781470431860 
Product Code:  COLL/40.B 
List Price:  $140.00 $107.50 
MAA Member Price:  $126.00 $96.75 
AMS Member Price:  $112.00 $86.00 

Book DetailsColloquium PublicationsVolume: 40; 1983; 238 ppMSC: Primary 57
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 3space—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.

Table of Contents

Chapters

Chapter 1. Planar complexes

Chapter 2. PL planar maps

Chapter 3. The Schoenflies theorem

Chapter 4. Wild 2spheres

Chapter 5. The generalized Schoenflies theorem

Chapter 6. The fundamental group

Chapter 7. Mapping onto spheres

Chapter 8. Linking

Chapter 9. Separation

Chapter 10. Pulling back feelers

Chapter 11. Intersections of surfaces with $1$simplexes

Chapter 12. Intersections of surfaces with skeleta

Chapter 13. Side approximation theorem

Chapter 14. The PL Schoenflies theorem for $R^3$

Chapter 15. Covering spaces

Chapter 16. Dehn’s lemma

Chapter 17. Loop theorem

Chapter 18. Related results

Appendix: Some standard results in topology


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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 3space—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.

Chapters

Chapter 1. Planar complexes

Chapter 2. PL planar maps

Chapter 3. The Schoenflies theorem

Chapter 4. Wild 2spheres

Chapter 5. The generalized Schoenflies theorem

Chapter 6. The fundamental group

Chapter 7. Mapping onto spheres

Chapter 8. Linking

Chapter 9. Separation

Chapter 10. Pulling back feelers

Chapter 11. Intersections of surfaces with $1$simplexes

Chapter 12. Intersections of surfaces with skeleta

Chapter 13. Side approximation theorem

Chapter 14. The PL Schoenflies theorem for $R^3$

Chapter 15. Covering spaces

Chapter 16. Dehn’s lemma

Chapter 17. Loop theorem

Chapter 18. Related results

Appendix: Some standard results in topology