Question 1
In topology, what does it mean for a function $f:X\to Y$ to be continuous?
Question 2
Which statement is the correct definition of a compact space?
Question 3
Which condition describes a Hausdorff space?
Question 4
What is a common consequence of a set being closed in a compact space?
Question 5
If $f:X\to Y$ is continuous and $K\subseteq X$ is compact, what can be concluded about $f(K)$?
