Noetherian implies compact: Difference between revisions
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stronger = Noetherian space| | stronger = Noetherian space| | ||
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Any [[Noetherian space]] is a [[compact space]]. | Any [[Noetherian space]] is a [[compact space]]. | ||
Latest revision as of 04:30, 30 January 2014
This article gives the statement and possibly, proof, of an implication relation between two topological space properties. That is, it states that every topological space satisfying the first topological space property (i.e., Noetherian space) must also satisfy the second topological space property (i.e., compact space)
View all topological space property implications | View all topological space property non-implications
Get more facts about Noetherian space|Get more facts about compact space
Statement
Any Noetherian space is a compact space.