Open Sets in Metric Space
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Theorem
Let $M = \struct {A, d}$ be a metric space.
Then $\O$ and $A$ are both open in $M$.
Proof
We have the results:
$\blacksquare$
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $2$: Continuity generalized: metric spaces: $2.3$: Open sets in metric spaces: Example $2.3.10$