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This article came very close to being declined as being a definition, it moves past that in large part by the sentence "It has been shown that every k-cell is compact", which is a not entirely obvious result of the definition. To the extent that other results related to k-cells could be mentioned in the article, well, the article would be stronger for it, but I believe this is above our notability and WP:NOTDICT bars, so I've accepted it. Thank you for working to improve Wikipedia! --j⚛e deckertalk 17:13, 23 May 2014 (UTC)[reply]