2017/08/14 by Lebair, Teresa M., Basu, Amitabh
#41A29 #41A30 #90C10 #90C57 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1708.04344
In a recent paper, Basu, Hildebrand, and Molinaro established that the set of continuous minimal functions for the 1-dimensional Gomory-Johnson infinite group relaxation possesses a dense subset of extreme functions. The n-dimensional version of this result was left as an open question. In the present paper, we settle this query in the affirmative: for any integer n ≥ 1, every continuous minimal function can be arbitrarily well approximated by an extreme function in the n-dimensional Gomory-Johnson model.