Hi, I'm not sure how to prove this statement:
Prove that if then is disconnected.
I'm using this definition of the distance: d(A,b) = inf{|x-y|: x in A, y in B}
Thanks a lot
It is true enough that what I said was unhelpful, but I'm afraid I don't understand your rebuttle. You appear to have contradicted the converse of AKTilted's statement. However I hoped to show that
,
the contrapositive being:
and therefore that is disjoint. A proper quashing of that reasoning would be letting and . Woops!