Question 1
Which statement best describes the product compactness theorem for two spaces?
Question 2
If $X$ is compact and $Y$ is compact, what can be concluded about $X \times Y$?
Question 3
Which theorem is commonly used to justify that a finite product of compact spaces is compact?
Question 4
Suppose $K$ is compact and $f:K \to Z$ is continuous. What can be said about $f(K)$?
Question 5
Which product of spaces is guaranteed to be compact?
