Problem Set 3
p. 83 # 7
Munkres p. 83 - 84 # 8 (both parts a and b)
Prove that [a,b) with reals a < b is neither open nor closed in the standard
topology on the reals, but that it is both open and closed in the lower limit
topology on the reals.
Additional grad problem, which is an extra credit problem for
Munkres p. 83 # 6