Section 16: Problem 7 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
be an ordered set. If
is a proper subset of
that is convex in
, does it follow that
is an interval or a ray in
?
No, for example,
is a convex subset of
which is not an interval in
.