5. Subspace Topology

Relative Openness — Quiz

Test your understanding of relative openness with 5 practice questions.

Practice Questions

Question 1

Let $Y=[0,2]$ with the subspace topology inherited from $\mathbb{R}$. Which set is open in $Y$?

Question 2

Which statement is the definition of a relatively open subset $A$ of a subspace $Y\subseteq X$?

Question 3

Let $Y=(0,3)$ with the subspace topology inherited from $\mathbb{R}$. Which set is open in $Y$?

Question 4

If $A$ is relatively open in $Y$, then $Y\setminus A$ is:

Question 5

Let $Y=[0,4]$. Why is the set $(3,4]$ relatively open in $Y$?