| Various surfaces |
Section 1 |
| A cube with holes |
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| Trefoil knot |
Section 1 |
| Folding a square to make a torus |
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| The torus as a quotient of the plane |
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| Letters of the alphabet |
Section 1 |
| Letters grouped by type |
Section 1 |
| Cage with two or three holes |
Section 1 |
| Simplices |
Section 1 |
| Barycentric coordinates |
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| Different triangulations of the sphere |
Section 1 |
| The triangle and the square |
Section 1 |
| Skeleta of simplices |
Section 1 |
| Open sets |
Definition 3.7 |
| Finite element model |
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| A cylinder is homeomorphic to an annulus |
Example 4.9 |
| Stereographic projection |
Example 4.13 |
| $\mathbb{R}P^1$ is homeomorphic to $S^1$ |
Example 7.23 |
| Gluing two discs to make a sphere |
Example 7.24 |
| Loops on the sphere |
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| Loops on the torus |
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| A homotopy of the trefoil |
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| Geometry of the Möbius strip |
Example 9.21 |
| The Möbius strip and the circle |
Example 9.21 |
| The punctured plane |
Example 9.21 |
| The punctured sphere |
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| The punctured torus |
Proposition 20.5 |
| Wrapping an annulus |
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| The exponential map |
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| The exponential map is a covering |
Proposition 22.7 |
| Path lifting |
Proposition 22.10 |
| Homotopy lifting |
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| Subdivision of a prism $[0,1]\times\Delta_2$ | Section 18 |
| Boundary of a tetrahedron |
Example 10.13 |
| Barycentric subdivision of a tetrahedron |
Section 18 |
| The map $\mu\colon|K'|\to|K|$ |