Maximal separation theorems for convex sets

Author:
Victor Klee

Journal:
Trans. Amer. Math. Soc. **134** (1968), 133-147

MSC:
Primary 52.30

DOI:
https://doi.org/10.1090/S0002-9947-1968-0235457-9

MathSciNet review:
0235457

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References | Similar Articles | Additional Information

**[1]**W. Fenchel,*A remark on convex sets and polarity*, Comm. Sém. Math. Univ. Lund (Medd. Lunds Univ. Math. Sem.) Tome Supplémentaire, 1952, 82-89. MR**0051535 (14:495a)****[2]**D. Gale and V. Klee,*Continuous convex sets*, Math. Scand.**7**(1959), 379-391. MR**0117659 (22:8435)****[3]**V. Klee,*Convex sets in linear spaces*, Duke Math. J.**18**(1951), 443-466. MR**0044014 (13:354f)****[4]**-,*Strict separation of convex sets*, Proc. Amer. Math. Soc.**7**(1956), 735-737. MR**0081444 (18:404a)****[5]**-,*Some characterizations of convex polyhedra*, Acta Math.**102**(1959), 79-107. MR**0105651 (21:4390)****[6]**-,*Asymptotes and projections of convex sets*, Math. Scand.**8**(1960), 356-362. MR**0158309 (28:1534)****[7]**-,*Asymptotes of convex bodies*, Math. Scand.**15**(1967), 89-90. 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 of California, Los Angeles, 1951.**[10]**R. T. Rockafellar,*Polyhedral convex sets with some closed faces missing*, (unpublished manuscript).

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DOI:
https://doi.org/10.1090/S0002-9947-1968-0235457-9

Article copyright:
© Copyright 1968
American Mathematical Society