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Proposition 1 (Figure 7.2.1, 7.2.2, 7.2.3 and 7.2.4)

Proposition 2 (Figure 7.2.5, 7.2.6, 7.2.7 and 7.2.8)

Compactness preserved under finite products; 'skewers' (Figures 7.2.9 and 7.2.10, 7.2.11, 7.2.12 and 7.2.13)

Exercise 11 (Figure 7.2.14)