# Category:Neighborhood Bases

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This category contains results about **Neighborhood Bases**.

Let $\struct {S, \tau}$ be a topological space.

Let $x \in S$.

Let $\BB$ be a set of neighborhoods of $x$.

Then $\BB$ is a **neighborhood basis** at $x$ if and only if:

- For each neighborhood $N$ of $x$, there is an $M \in \BB$ such that $M \subseteq N$.

## Pages in category "Neighborhood Bases"

The following 5 pages are in this category, out of 5 total.