- #1
WannaBe22
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Homework Statement
Let K be a closed&bounded set in R^n which isn't empty.
Prove that K isn't open.
Homework Equations
No topology! I can't use the fact that the only sets in R^n which are closed and open are the empty set and R^n... Only the definitions of open sets and closed sets (closed sets=sets which satisfy that the limit of every converged sequence is an element of the set...)
The Attempt at a Solution
I have no idea how to do it...
Hope you'll be able to help me
Thanks