Hirsch, W. M.; Hoffmann, A. J. Extreme varieties, concave functions, and the fixed charge problem. (English) Zbl 0111.06001 Commun. Pure Appl. Math. 14, 355-369 (1961). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents Keywords:differentiation and integration, measure theory × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Introductory material on convex sets in Euclidean space, Seminar on Convex Sets, The Institute for Advanced Study, Princeton, 1949–1950. [2] and , Theorie der konvexen Körper, Springer, Berlin, 1934. · Zbl 0008.07708 · doi:10.1007/978-3-642-47404-0 [3] Convex cones, sets, and functions, Mimeographed lecture notes, Princeton Univ., 1953. [4] Maximization of a linear function of variables subject to linear inequalities, Activity Analysis of Production and Allocation, Ed., John Wiley and Sons, New York, 1951. [5] Resolution and separation theorems for polyhedral convex sets, Annals of Mathematics Studies No. 38, Princeton Univ. Press, 1956, pp. 41–51. · Zbl 0072.37505 [6] and , Polyhedral convex cones, Annals of Mathematics Studies No. 38, Princeton Univ. Press, 1956, pp. 19–40. · Zbl 0072.37504 [7] Dual systems of homogeneous linear relations, Annals of Mathematics Studies No. 38, Princeton Univ. Press, 1956, pp. 3–18. · Zbl 0072.37503 [8] and , Notes on Linear Programming: Part XIX, The fixed charge problem, Rand Research Memorandum No. 1383, Santa Monica, Calif., 1954. [9] Klee, Arch. Math. 8 pp 232– (1957) [10] Klee, Math. Z. 69 pp 90– (1958) [11] Krein, Studia Math. 9 pp 133– (1940) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.