Problem 6. For each of the following sets write 0 if open, C if closed, CP if compact or N if none of the above. :{∅}: {∅}u{} (0,4)u[1/2,1). [0,3] | (1,2).
Added by Alba A.
Step 1
- {e} is a singleton set, which is both open and closed. - {e}u{} is just {e}, which is both open and closed. - (0.4)u[1/2,1) is the union of an open interval and a half-open interval. It is open. - [0,3] is a closed interval, so it is closed and compact. - |1,2| Show more…
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