Closure (Topology)/Examples/Open Interval in Open Unbounded Interval
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Example of Closure in the context of Topology
Let $S$ be the open real interval:
- $S = \openint a \to$
Let $H$ be the open real interval:
- $H = \openint a b$
Then the closure of $H$ in $S$ is:
- $H^- = \hointl a b$
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $3$: Continuity generalized: topological spaces: $3.7$: Definitions: Examples $3.7.14 \ \text {(a)}$