Exhaustion by compact sets
id:
exhaustion-by-compact-sets-271-10972488
title:
Exhaustion by compact sets
text:
In mathematics, especially general topology and analysis, an exhaustion by compact sets of a topological space X is a nested sequence of compact subsets K i of X , such that K i is contained in the interior of K i + 1 , i.e. K i ⊆ int for each i and X = ⋃ i = 1 ∞ K i . A space admitting an exhaustion by compact sets is called exhaustible by compact sets. For example, consider X = R n and the sequence of closed balls K i = { x : | x | ≤ i } . Occasionally some authors drop the requirement that K
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https://en.wikipedia.org/wiki/Exhaustion_by_compact_sets
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date modified:
2023-06-28T19:26:05Z
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