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Open Neighborhood

In a topological space X, an open neighborhood of a point x is an open set containing x. A set containing an open neighborhood is simply called a neighborhood.

See also

Neighborhood, Open Set

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Open Neighborhood." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/OpenNeighborhood.html

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