Section 29: Problem 9 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
I believe the quotient map from
onto
is open, therefore,
is locally compact (exercise 3). Yes, right: see the supplementary exercises of the previous chapter.