Prove that the discrete topology on X is the same as the metric topology induced by...

Prove that the discrete topology on X is the same as the metric topology induced by the discrete metric.

Where metric topology is defined as:

If (X,d) is a metric space, then consider the collection T of all open subsets of X. Then (X,T) is topological space. This topology is called the metric topology on X induced by d.

Expert Solution

Colby Messinger answered 1 week ago

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