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 3.8 |
Finite element model![]() |
Remark 2.3 |
A cylinder is homeomorphic to an annulus![]() |
Example 4.7 |
Stereographic projection![]() |
Example 4.10 |
$\mathbb{R}P^1$ is homeomorphic to $S^1$![]() |
Example 8.23 |
Gluing two discs to make a sphere![]() |
Example 8.24 |
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 10.23 |
The Möbius strip and the circle![]() |
Example 10.23 |
The punctured plane![]() |
Example 10.23 |
The punctured sphere![]() |
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The punctured torus![]() |
Remark 15.26 |
Wrapping an annulus![]() |
Example 15.27 |
The exponential map![]() |
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The exponential map is a covering![]() |
Proposition 12.6 |
Path lifting![]() |
Proposition 12.9 |
Homotopy lifting![]() |
Proposition 12.12 |
Subdivision of a prism $[0,1]\times\Delta_2$ | |
Boundary of a tetrahedron![]() |
Example 18.7 |
Barycentric subdivision of a tetrahedron![]() |
Example 22.5 |
The map $\mu\colon|K'|\to|K|$![]() |
Example 22.8 |