Given the following subsets of R: A = R\Q = {x ∈ R|x not in Q}...

Given the following subsets of R:

A = R\Q = {x ∈ R|x not in Q}

B = {1, 2, 3, 4}

C = (0, 1]

D = (0, 1] ∪ [2, 3) ∪ (4, 5] ∪ [6, 7] ∪ {8}

(a) Find the set of limit points for each subset when considered as subsets of RU (usual topology on R).

(b) Find the set of limit points for each subset when considered as subsets of RRR (right-ray topology on R).

Expert Solution

Colby Messinger answered 10 months ago

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