Problem

Exercises relate to the following definition: Let (X, d) be a metric space. A subset D of...

Exercises relate to the following definition: Let (X, d) be a metric space. A subset D of X is said to be dense in X if cl D=X.

Let X be a nonempty set and let d be the metric of Example 3.6.2(c). Prove that no proper subset of X is dense with this metric.

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Solutions For Problems in Chapter 3.15S