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Find a compactification K(X) for the indicated space X as required. Let E(X) denote the remainder,...

Find a compactification K(X) for the indicated space X as required. Let E(X) denote the remainder, so E(X)=K(X)−X.

(a) X=R and E(X) is an interval homeomorphic to [0,1].

(b) X=N and E(X) consists of exactly three isolated points.

(c) X=N and E(X) is homeomorphic to [0,1]

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