Some intersection and generation properties of convex sets
Jamison, Robert E.
Compositio Mathematica, Tome 35 (1977), p. 147-161 / Harvested from Numdam
Publié le : 1977-01-01
@article{CM_1977__35_2_147_0,
     author = {Jamison, Robert E.},
     title = {Some intersection and generation properties of convex sets},
     journal = {Compositio Mathematica},
     volume = {35},
     year = {1977},
     pages = {147-161},
     mrnumber = {470867},
     zbl = {0361.52001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1977__35_2_147_0}
}
Jamison, Robert E. Some intersection and generation properties of convex sets. Compositio Mathematica, Tome 35 (1977) pp. 147-161. http://gdmltest.u-ga.fr/item/CM_1977__35_2_147_0/

[1] C. Carathéodory: Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen. Rend. Circ. Mat. Palermo 32 (1911) 193-217. | JFM 42.0429.01

[2] L.W. Danzer, B. Grünbaum and V.L. Klee: Helly's theorem and its relatives. AMS Proc. Symp. CONVEXITY VII (1963) 101-180. | Zbl 0132.17401

[3] H.G. Eggleston: Convexity Cambridge, Univ. Press, 1966. | MR 124813 | Zbl 0086.15302

[4] L. Gillman and M. Jerison: Rings of Continuous Functions. Princeton, Van Nostrand, 1960. | MR 116199 | Zbl 0093.30001

[5] E. Helly: Über Mengen konvexen Körper mit gemeinschaftlichen Punkten. Jber. Deutsch. Math. Verein. 32 (1923) 175-176. | JFM 49.0534.02

[6] R.E. Jamison: A General Theory of Convexity. Dissertation, Univ. of Washington, 1974.

[7] S. Karlin and L.S. Shapley: Some applications of a theorem on convex functions. Annals of Math. 52 (1950) 148-153. | MR 39227 | Zbl 0038.10202

[8] J.L. Kelley: Topology. Princeton, Van Nostrand, 1955. | MR 70144

[9] V.L. Klee: Critical set of a convex body. Amer. J. Math. 75 (1953) 178-188. | MR 52803 | Zbl 0050.16604

[10] V.L. Klee: Structure of Semispaces. Math. Scand. (1956) 54-64. | MR 80943 | Zbl 0070.39203

[11] V.L. Klee: Infinite-dimensional intersection theorems. AMS Proc. Symp. CONVEXITY VII (1963) 349-360. | MR 156176 | Zbl 0136.18804

[12] V.L. Klee: Mimeographed lecture notes, Univ. of Washington, 1973.