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math.MG2016
Compact convex sets with prescribed facial dimensions
Vera Roshchina, Tian Sang, David Yost
While faces of a polytope form a well structured lattice, in which faces of each possible dimension are present, this is not true for general compact convex sets. We address the qu…
math.OC2016
On the conjecture by Demyanov-Ryabova in converting finite exhausters
Tian Sang
In this paper, we prove the conjecture of Demyanov and Ryabova on the length of cycles in converting exhausters in an affinely independent setting and obtain a combinatorial reform…