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The Geometric Topology of 3-Manifolds

About this Title

R. H. Bing

Publication: Colloquium Publications
Publication Year: 1983; Volume 40
ISBNs: 978-0-8218-1040-8 (print); 978-1-4704-3186-0 (online)
DOI: https://doi.org/10.1090/coll/040
MathSciNet review: MR728227

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Table of Contents

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Front/Back Matter

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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