Section 29: Problem 8 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
is homeomorphic to the set
in the discrete topology, which is equivalent to the topology inherited from the standard topology of the real line.
is a compact and Hausdorff space, therefore, it is a one-point compactification of the subspace
.