Epsilon-Neighborhood (Real Number Line)/Examples/1-Neighborhood of 2
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Examples of Epsilon-Neighborhoods
The $1$-neighborhood of $2$ is the set:
- $\map {N_1} 2 = \openint 1 3 = \set {x \in \R: \size {x - 2} < 1}$
Sources
- 1959: E.M. Patterson: Topology (2nd ed.) ... (previous) ... (next): Chapter $\text {II}$: Topological Spaces: $\S 11$. Continuity on the Euclidean line