Local Basis

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A local basis at the point $x \in X$ is a collection of open neighborhoods of $x$ with the property that every open set containing $x$ contains some set in the collection.[1]

Further Reading

See Also

References

  1. Steen, Lynn Arthur, and J. Arthur Seebach. Counterexamples in Topology. New York: Dover Publications, 1995. pg. 4.