Book contents
- Frontmatter
- Contents
- Preface
- 0 Sets and groups
- 1 Background: metric spaces
- 2 Topological spaces
- 3 Continuous functions
- 4 Induced topology
- 5 Quotient topology (and groups acting on spaces)
- 6 Product spaces
- 7 Compact spaces
- 8 Hausdorff spaces
- 9 Connected spaces
- 10 The pancake problems
- 11 Manifolds and surfaces
- 12 Paths and path connected spaces
- 12A The Jordan curve theorem
- 13 Homotopy of continuous mappings
- 14 ‘Multiplication’ of paths
- 15 The fundamental group
- 16 The fundamental group of a circle
- 17 Covering spaces
- 18 The fundamental group of a covering space
- 19 The fundamental group of an orbit space
- 20 The Borsuk-Ulam and ham-sandwich theorems
- 21 More on covering spaces: lifting theorems
- 22 More on covering spaces: existence theorems
- 23 The Seifert-Van Kampen theorem: I Generators
- 24 The Seifert-Van Kampen theorem: II Relations
- 25 The Seifert-Van Kampen theorem: III Calculations
- 26 The fundamental group of a surface
- 27 Knots: I Background and torus knots
- 28 Knots: II Tame knots
- 28A Table of knots
- 29 Singular homology: an introduction
- 30 Suggestions for further reading
- Index
27 - Knots: I Background and torus knots
Published online by Cambridge University Press: 03 February 2010
- Frontmatter
- Contents
- Preface
- 0 Sets and groups
- 1 Background: metric spaces
- 2 Topological spaces
- 3 Continuous functions
- 4 Induced topology
- 5 Quotient topology (and groups acting on spaces)
- 6 Product spaces
- 7 Compact spaces
- 8 Hausdorff spaces
- 9 Connected spaces
- 10 The pancake problems
- 11 Manifolds and surfaces
- 12 Paths and path connected spaces
- 12A The Jordan curve theorem
- 13 Homotopy of continuous mappings
- 14 ‘Multiplication’ of paths
- 15 The fundamental group
- 16 The fundamental group of a circle
- 17 Covering spaces
- 18 The fundamental group of a covering space
- 19 The fundamental group of an orbit space
- 20 The Borsuk-Ulam and ham-sandwich theorems
- 21 More on covering spaces: lifting theorems
- 22 More on covering spaces: existence theorems
- 23 The Seifert-Van Kampen theorem: I Generators
- 24 The Seifert-Van Kampen theorem: II Relations
- 25 The Seifert-Van Kampen theorem: III Calculations
- 26 The fundamental group of a surface
- 27 Knots: I Background and torus knots
- 28 Knots: II Tame knots
- 28A Table of knots
- 29 Singular homology: an introduction
- 30 Suggestions for further reading
- Index
Summary
- Type
- Chapter
- Information
- A First Course in Algebraic Topology , pp. 209 - 220Publisher: Cambridge University PressPrint publication year: 1980