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| Softcover ISBN: | 978-0-8218-1040-8 |
| Product Code: | COLL/40 |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $60.00 |
| eBook ISBN: | 978-1-4704-3186-0 |
| Product Code: | COLL/40.E |
| List Price: | $65.00 |
| MAA Member Price: | $58.50 |
| AMS Member Price: | $52.00 |
| Softcover ISBN: | 978-0-8218-1040-8 |
| eBook ISBN: | 978-1-4704-3186-0 |
| Product Code: | COLL/40.B |
| List Price: | $140.00 $107.50 |
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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 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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Table of Contents
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Chapters
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Chapter 1. Planar complexes
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Chapter 2. PL planar maps
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Chapter 3. The Schoenflies theorem
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Chapter 4. Wild 2-spheres
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Chapter 5. The generalized Schoenflies theorem
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Chapter 6. The fundamental group
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Chapter 7. Mapping onto spheres
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Chapter 8. Linking
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Chapter 9. Separation
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Chapter 10. Pulling back feelers
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Chapter 11. Intersections of surfaces with $1$-simplexes
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Chapter 12. Intersections of surfaces with skeleta
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Chapter 13. Side approximation theorem
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Chapter 14. The PL Schoenflies theorem for $R^3$
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Chapter 15. Covering spaces
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Chapter 16. Dehn’s lemma
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Chapter 17. Loop theorem
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Chapter 18. Related results
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Appendix: Some standard results in topology
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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 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.
-
Chapters
-
Chapter 1. Planar complexes
-
Chapter 2. PL planar maps
-
Chapter 3. The Schoenflies theorem
-
Chapter 4. Wild 2-spheres
-
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
