@article{CM_1980__42_3_391_0, author = {Sierksma, Gerard}, title = {Convexity on unions of sets}, journal = {Compositio Mathematica}, volume = {42}, year = {1980}, pages = {391-400}, mrnumber = {607378}, zbl = {0454.52001}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1980__42_3_391_0} }
Sierksma, Gerard. Convexity on unions of sets. Compositio Mathematica, Tome 42 (1980) pp. 391-400. http://gdmltest.u-ga.fr/item/CM_1980__42_3_391_0/
[1] Der Satz von Radon in Konvexen Produktstrukturen I. Monatshefte für Math. 72 (1968) 303-314. | MR 233285 | Zbl 0159.51701
:[2] Der Satz von Radon in Konvexen Produktstrukturen II. Monatshefte für Math. 73 (1969) 17-30. | MR 243427 | Zbl 0174.53701
:[3] Radon's Theorem Revisited. Proc. des Géométrie Symp. Siegen 1978, Birkhauser Verlag Basel. | Zbl 0445.52009
:[4] Beziehungen zwischen den Sätzen von Radon, Helly und Caratheodory bei axiomatischen Konvexitäten. Abhandlungen aus dem Math. Sem. der Univ. Hamburg 46 (1977) 3-24. | MR 500562 | Zbl 0367.52009
:[5] A General Theory of Convexity. Doct. Diss., Univ. of Washington, Seattle, 1974.
:[6] Axiomatic Convexity Theory and Relationships between the Carathéodory, Helly and Radon numbers. Pacific J. of Math. 38 (1971) 471-485. | MR 310766 | Zbl 0235.52001
and :[7] On Helly's Theorem and the Axioms of Convexity. J. Indian Math. Soc. 15 (1951) 65-76. | MR 43487 | Zbl 0044.19101
:[8] Carathéodory and Helly numbers of Convex Product Structures. Pacific J. of Math. 61 (1975) 275-282. | MR 397562 | Zbl 0301.52002
:[9] Axiomatic Convexity Theory and the Convex Product Space. Doct. Diss., Univ. of Groningen, 1976. | Zbl 0336.52001
:[10] Relationships between Carathéodory, Helly, Radon and Exchange numbers of Convexity Spaces. Nieuw Arch. voor Wisk. (3), XXV (1977) 115-132. | MR 514026 | Zbl 0354.52005
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