Geodesic
Another Note on Sperner's Lemma
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 255-256

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Let Q be a finite partially ordered (by ≤) set with universal bounds O, I. The height function h of Q is defined by the rule: h(x) is the maximum length of a chain from O to x. Let h(I)=n. Suppose that for each k≥0, there exist positive integers a(k) and b(k) such that all elements of height k (i) are covered by a(k) elements of height k+1; (ii) cover b(k) elements of height k—1. Then we call Q a U-poset. Call a subset S of a partially ordered set an antichain if no two elements of S are comparable. 
Drake, David A. Another Note on Sperner's Lemma. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 255-256. doi: 10.4153/CMB-1971-045-9
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     title = {Another {Note} on {Sperner's} {Lemma}},
     journal = {Canadian mathematical bulletin},
     pages = {255--256},
     year = {1971},
     volume = {14},
     number = {2},
     doi = {10.4153/CMB-1971-045-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-045-9/}
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