Maximal separation theorems for convex sets
Author:
Victor Klee
Journal:
Trans. Amer. Math. Soc. 134 (1968), 133147
MSC:
Primary 52.30
MathSciNet review:
0235457
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
W.
Fenchel, A remark on convex sets and polarity, Comm.
Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.]
1952 (1952), no. Tome Supplementaire, 82–89. MR 0051535
(14,495a)
 [2]
David
Gale and Victor
Klee, Continuous convex sets, Math. Scand. 7
(1959), 379–391. MR 0117659
(22 #8435)
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V.
L. Klee Jr., Convex sets in linear spaces, Duke Math. J.
18 (1951), 443–466. MR 0044014
(13,354f)
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V.
L. Klee Jr., Strict separation of convex
sets, Proc. Amer. Math. Soc. 7 (1956), 735–737. MR 0081444
(18,404a), http://dx.doi.org/10.1090/S00029939195600814440
 [5]
Victor
Klee, Some characterizations of convex polyhedra, Acta Math.
102 (1959), 79–107. MR 0105651
(21 #4390)
 [6]
Victor
Klee, Asymptotes and projections of convex sets, Math. Scand.
8 (1960), 356–362. MR 0158309
(28 #1534)
 [7]
Victor
Klee, Asymptotes of convex bodies, Math. Scand
20 (1967), 89–90. MR 0212679
(35 #3546)
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Th. Motzkin, Beiträge zur Theorie der linearen Ungleichungen, Dissertation, Basel, 1936.
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, Linear inequalities (mimeographed lecture notes), Univ. of California, Los Angeles, 1951.
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R. T. Rockafellar, Polyhedral convex sets with some closed faces missing, (unpublished manuscript).
 [1]
 W. Fenchel, A remark on convex sets and polarity, Comm. Sém. Math. Univ. Lund (Medd. Lunds Univ. Math. Sem.) Tome Supplémentaire, 1952, 8289. MR 0051535 (14:495a)
 [2]
 D. Gale and V. Klee, Continuous convex sets, Math. Scand. 7 (1959), 379391. MR 0117659 (22:8435)
 [3]
 V. Klee, Convex sets in linear spaces, Duke Math. J. 18 (1951), 443466. MR 0044014 (13:354f)
 [4]
 , Strict separation of convex sets, Proc. Amer. Math. Soc. 7 (1956), 735737. MR 0081444 (18:404a)
 [5]
 , Some characterizations of convex polyhedra, Acta Math. 102 (1959), 79107. MR 0105651 (21:4390)
 [6]
 , Asymptotes and projections of convex sets, Math. Scand. 8 (1960), 356362. MR 0158309 (28:1534)
 [7]
 , Asymptotes of convex bodies, Math. Scand. 15 (1967), 8990. MR 0212679 (35:3546)
 [8]
 Th. Motzkin, Beiträge zur Theorie der linearen Ungleichungen, Dissertation, Basel, 1936.
 [9]
 , Linear inequalities (mimeographed lecture notes), Univ. of California, Los Angeles, 1951.
 [10]
 R. T. Rockafellar, Polyhedral convex sets with some closed faces missing, (unpublished manuscript).
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947196802354579
PII:
S 00029947(1968)02354579
Article copyright:
© Copyright 1968
American Mathematical Society
