« Section 29: Problem 4 Solution

Section 29: Problem 6 Solution »

Section 29: Problem 5 Solution

Working problems is a crucial part of learning mathematics. No one can learn topology merely by poring over the definitions, theorems, and examples that are worked out in the text. One must work part of it out for oneself. To provide that opportunity is the purpose of the exercises.
James R. Munkres
Let , then it is bijective and is open in iff is open in or is compact iff is open in or is compact.