Let X = R equipped with the topology 7 = {0, R} U {(x, ) |...

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Let X = R equipped with the topology 7 = {0, R} U {(x, ∞) | x ≤ R}. X (You do not need to show that this is a topology on X). Is 7 comparable with the standard topology Tstd, and if so which is finer? Let X = R equipped with the topology 7 = {0, R} U {(x, ∞) | x ≤ R}. X (You do not need to show that this is a topology on X). Is 7 comparable with the standard topology Tstd, and if so which is finer?

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The topology 7 on X is defined as the union of the sets 0 R and x x R The standa... View the full answer