Question 1
What is the subspace topology on a subset $A$ of a topological space $X$?
Question 2
What does it mean for a map $f:X \to Y$ to be an embedding?
Question 3
If $A$ is given the subspace topology inherited from $X$, what kind of map is the inclusion $i:A \to X$?
Question 4
Consider $f:(0,1) \to \mathbb{R}$ defined by $f(x)=x^2$. What is true about $f$?
Question 5
Which set is the image of the map $f:\mathbb{R} \to \mathbb{R}^2$ given by $f(x)=(x,0)$?
