# Lecture Notes

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math105-s22:hw:hw3

# HW 3

1. Read Pugh section 6.2, 6.4, 6.5. Read the proof of Theorem 21 and 26.

2. Pugh Ch 6,

1. Ex 3. Consider the special case of a diagonal line $\{y=x\}$ in $\R^2$. Can you prove directly that it has measure zero, i.e, using covering by boxes? You then may want to read Section 6.3 Theorem 9. Or, can you use today's zero slice theorem to prove it?
2. Ex 6. How to reduce the unbounded case to bounded case?
3. Ex 12. You can assume properties in Ex 11.