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  "body": "\n## Summary\n\nA Moore space is a regular Hausdorff space with a development, that is, a sequence of open covers that shrink to each point.\nEvery [[metrizable space|091GJ3FYD7]] is a Moore space, and Moore spaces share many properties of metric spaces.\nThey are the setting of the [[normal Moore space problem|Z6T00E3JQH]], a central question of set-theoretic topology.\n\n## Explanations\n\n### L1 human\n\nIn a metric space, the balls of radius $1, 1/2, 1/3, \\dots$ around a point get smaller and close in on the point.\nA Moore space keeps this picture without a distance.\nIt has a sequence of covers by open sets, and the sets of the $n$-th cover that contain a point close in on it as $n$ grows.\nThe plane with the usual topology is an example, with the cover by all open discs of radius $1/n$ as the $n$-th cover.\nThe [[Moore plane|SAR7PBYF07]] is a Moore space that is not metrizable.\n",
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