Definition:Underlying Set/Metric Space
< Definition:Underlying Set(Redirected from Definition:Underlying Set of Metric Space)
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Definition
Let $M = \struct {A, d}$ be a metric space.
Then the underlying set of $M$ is the set $A$.
Sources
- 1967: George McCarty: Topology: An Introduction with Application to Topological Groups ... (previous) ... (next): Chapter $\text{III}$: Metric Spaces: The Definition
- 1975: Bert Mendelson: Introduction to Topology (3rd ed.) ... (previous) ... (next): Chapter $2$: Metric Spaces: $\S 2$: Metric Spaces: Definition $2.1$