Exhaustion by compact sets

In mathematics, especially analysis, exhaustion by compact sets of a topological space is a nested sequence of compact subsets of (i.e. ), such that is contained in the interior of , i.e. for each and .

For example, consider and the sequence of closed balls .


See also

References

  • Leon Ehrenpreis, Theory of Distributions for Locally Compact Spaces, American Mathematical Society, 1982. ISBN 0-8218-1221-1.
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