A Helly type theorem on the sphere
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- by Meir Katchalski PDF
- Proc. Amer. Math. Soc. 66 (1977), 119-122 Request permission
Abstract:
This paper establishes a Helly type theorem for convex sets in ${S_n}$, the n-dimensional unit sphere.References
- M. J. C. Baker, A spherical Helly-type theorem, Pacific J. Math. 23 (1967), 1–3. MR 222770 L. Danzer, B. Grünbaum and V. Klee, Helly’s theorem and its relatives, Proc. Sympos. Pure Math., vol. 7, Amer. Math. Soc., Providence, R. I., 1963, pp. 101-180. MR 28 #524. B. Grünbaum, Convex polytopes, Interscience, New York, 1967. MR 37 #2085.
- Meir Katchalski, Some properties of families of convex cones, Trans. Amer. Math. Soc. 233 (1977), 235–240. MR 493755, DOI 10.1090/S0002-9947-1977-0493755-3 —, Non-degenerate families of convex cones and convex polytopes, Discrete Math. (to appear).
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 119-122
- MSC: Primary 52A35
- DOI: https://doi.org/10.1090/S0002-9939-1977-0470868-9
- MathSciNet review: 0470868