When we say that a metric space (X,d) induces a topology or "every metric space is a topological space in a natural manner" we mean that:(adsbygoogle = window.adsbygoogle || []).push({});

A metric space (X,d) can be seen as a topological space (X,τ) where the topology τ consists of all the open sets in the metric space?

Which means that all possible open sets (or open balls) in a metric space (X,d) will form the topology τ of the induced topological space?

Is that correct?

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# Topology induced by a metric?

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