Definition:Neighborhood (Neighborhood Space)

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Definition

Let $\left({S, \mathcal N}\right)$ be a neighborhood space.

Let $x \in S$.

Let $\mathcal N_x$ satisfy the neighborhood space axioms.


Then each element $N$ of $\mathcal N_x$ is called a neighborhood of $x$.


Also see

  • Results about neighborhoods can be found here.


Sources