Definitions and Theorems:

1.20 (equivalent sets)

2.2/2.5 (upper bound, least upper bound)

3.1 (metric space)

3.13/3.29 (open set/closed set)

3.26 (relatively open set)

3.37/3.40 (interior/closure of a set)

Suggested Review Problems/Exercises:

Exercise 1.3

Problems 1.3, 1.6

Exercises 2.2, 2.3, 2.4

Problems 2.1, 2.5, 2.6, 2.7

Exercises 3.1, 3.4, 3.6, 3.9, 3.10

Problems 3.5, 3.7, 3.8, 3.9, 3.13, 3.14, 3.16