Paracompact space

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Notion

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Science and technology

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What Wikipedia says

In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite. These spaces were introduced by Dieudonné (1944). Every compact space is paracompact.

Excerpt from the Wikipedia article “Paracompact space”, under the CC BY-SA 4.0 license. Read the article on Wikipedia