Section 17: Problem 12 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 a subspace of a Hausdorff space is Hausdorff.
If
is Hausdorff,
,
, and
and
are disjoint neighborhoods of
and
in
, respectively, then
and
are their disjoint neighborhoods in
.