Families of parallels associated with sets.
E. E. Robkin and F. A. Valentine
Source: Pacific J. Math. Volume 16, Number 1
(1966), 147-157.
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52.34
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102995093
Zentralblatt MATH identifier: 0136.18904
Mathematical Reviews number (MathSciNet): MR0187146
References
[1] L. Danzer, B. Grunbaum and V. Klee, Helly's theorem and its relatives, Symposium on Convexity, Proceedings of the Symposia in Pure Math. 17 Amer. Math. Soc. (1963).
Mathematical Reviews (MathSciNet): MR28:524
Zentralblatt MATH: 0132.17401
[2] E. Helly, Uber Mengen konvexer Korper mit gemeinschftlichen Punkten, Jber. Deutch Math. Verein 32 (1923), 175-176.
[3] Alfred Horn, Some generalizations of Helly's theorem on convex sets, Bull. Amer. Math. Soc. 55 (1949), 923-929.
Mathematical Reviews (MathSciNet): MR11:200g
[4] Alfred Horn and F. A. Valentine, Some properties of L sets in the plane, Duke Math. J. 16 (1949), 131-140.
Mathematical Reviews (MathSciNet): MR10:468e
Zentralblatt MATH: 0034.10403
[5] M. A. Krasnoselskii, Sur un critere pour qu'on domain soit etoile, Math. Sb. (61) 19 (1946),309-310.
Mathematical Reviews (MathSciNet): MR8:525a
Zentralblatt MATH: 0061.37705
[6] Victor Klee, On certain intersection properties of convex sets, Canad. J. Math. 3 (1951), 271-275.
Mathematical Reviews (MathSciNet): MR13:153m
Zentralblatt MATH: 0042.40701
[7] F. A. Valentine, Convex sets, McGraw-Hill Book Co.(1964).
Mathematical Reviews (MathSciNet): MR30:503
Pacific Journal of Mathematics
