A family of subsets of a topological space such that every point has a neighborhood which intersects only a finite number of them.

# Locally Finite Family

## See also

Sigma-Locally Finite Family
*This entry contributed by Margherita
Barile*

## Explore with Wolfram|Alpha

## Cite this as:

Barile, Margherita. "Locally Finite Family." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/LocallyFiniteFamily.html