Section 13: Problem 6 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
Show that the topologies of
and
are not comparable.
For
there is no open set in
containing
that lies in
. For
there is no open set in
that lies in
.