1 U means usual topology on R 2 H means halfopen interval to
1. U= means usual topology on R
2. H =means half-open interval topology on R
3. C =means open half-line topology on R
4. D= means discrete topology on any set X
5. I= means indiscrete topology or the trivial topology on any set X
6. F=finite complement topology on any set X
7. CC=countable complement topology
Solution
usual topology:
a.open
b.not open
c.not open
d.open
e.open
f.open
g.open
h.open
Half-open interval topology
a.not open
b.not open
c.not open
d.open
e.not open
f.open
g.open
h.open

