1. Motivation and Definitions

Examples From Familiar Spaces — Quiz

Test your understanding of examples from familiar spaces with 5 practice questions.

Practice Questions

Question 1

In the real numbers $\mathbb{R}$ with the usual distance, which set is open?

Question 2

Which statement best describes a closed set in a metric space?

Question 3

In the usual topology on $\mathbb{R}$, what is the complement of the interval $(0,1)$?

Question 4

Which of the following is an example of an open set in $\mathbb{R}$?

Question 5

In $\mathbb{R}$ with the usual metric, which set is closed?