Maximal separation theorems for convex sets

Author:
Victor Klee

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

MSC:
Primary 52.30

MathSciNet review:
0235457

Full-text 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****[2]**David Gale and Victor Klee,*Continuous convex sets*, Math. Scand.**7**(1959), 379–391. MR**0117659****[3]**V. L. Klee Jr.,*Convex sets in linear spaces*, Duke Math. J.**18**(1951), 443–466. MR**0044014****[4]**V. L. Klee Jr.,*Strict separation of convex sets*, Proc. Amer. Math. Soc.**7**(1956), 735–737. MR**0081444**, 10.1090/S0002-9939-1956-0081444-0**[5]**Victor Klee,*Some characterizations of convex polyhedra*, Acta Math.**102**(1959), 79–107. MR**0105651****[6]**Victor Klee,*Asymptotes and projections of convex sets*, Math. Scand.**8**(1960), 356–362. MR**0158309****[7]**Victor Klee,*Asymptotes of convex bodies*, Math. Scand**20**(1967), 89–90. MR**0212679****[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 of California, Los Angeles, 1951.**[10]**R. T. Rockafellar,*Polyhedral convex sets with some closed faces missing*, (unpublished manuscript).

Retrieve articles in *Transactions of the American Mathematical Society*
with MSC:
52.30

Retrieve articles in all journals with MSC: 52.30

Additional Information

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

Article copyright:
© Copyright 1968
American Mathematical Society