- #1
im2fastfouru
- 6
- 0
Any help on this problem would be appreciated
a) Show that (f^-1 S)compliment is equal to f^-1(S compliment) for any set S of reals.
Then use part a) to show The function f is continuous iff f^-1(S) is closed for every closed set S.
a) Show that (f^-1 S)compliment is equal to f^-1(S compliment) for any set S of reals.
Then use part a) to show The function f is continuous iff f^-1(S) is closed for every closed set S.