Section 53: Problem 1 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
have the discrete topology. Show that if
is projection on the first coordinate, then
is a covering map.
It is continuous and surjective, and
where each slice
is open in
(
is discrete) and homeomorphic to
.