For each of item below,two sets A and B are given.Decide (with proof) whether they are homeomorphic.

For each of item below,two sets A and B are given.Decide (with proof) whether they are homeomorphic.In case (a)and (b) and the set A in the case (c),the sets are to be viewed as subspaces of R with the absolute value topology.In case (c),the set B is viewed as a subspace of R^2 with the Pythagorean topology.

(b) A=(a,b)    B=(r,s)∪(u,v) where r<s<u<v.