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# Contents

## Definition

Given a topological space $X$, then a set of subset $\{S_i \subset X\}_{i \in I}$ is locally finite if every point $x \in X$ intersects only a finite number of the $S_i$.

Often this property is considered for open covers, see at locally finite open cover. But the condition also plays a role for collections of subsets which are not open or not covering, for instance in Michael's theorem (Michael 53, theorem 1).

## References

Last revised on March 21, 2021 at 04:13:34. See the history of this page for a list of all contributions to it.