@article{CM_1986__57_1_61_0, author = {Lassak, Marek}, title = {A general notion of extreme subset}, journal = {Compositio Mathematica}, pages = {61--72}, publisher = {Martinus Nijhoff Publishers}, volume = {57}, number = {1}, year = {1986}, mrnumber = {817296}, zbl = {0596.52001}, language = {en}, url = {http://www.numdam.org/item/CM_1986__57_1_61_0/} }
Lassak, Marek. A general notion of extreme subset. Compositio Mathematica, Tome 57 (1986) no. 1, pp. 61-72. http://www.numdam.org/item/CM_1986__57_1_61_0/
[1] Lattice Theory. New York: American Mathematical Society (1948). | MR | Zbl
:[2] Theory and Applications of Distance Geometry. Oxford: Clarendon Press (1953). | MR | Zbl
:[3] Theorie der konvexen Körper. Berlin: Springer-Verlag (1934). Reprint; New York: Chelsea Publishing Company (1948). | MR
and :[4] The generation of convex hulls. Math. Ann. 152 (1963) 1-29. | MR | Zbl
and :[5] Topological convexity spaces. Proc. Edinburgh Math. Soc. 19 (1974) 125-132. | MR | Zbl
:[6] Universal Algebra. New York: Harper and Row (1965). | MR | Zbl
:[7] Some results on order convexity. Amer. Math. Monthly 69 (1962) 357-359. | MR | Zbl
:[8] Verallgemeinter Konvexitätsbegriffe und der Satz von Krein-Milman. Math. Ann. 186 (1970) 149-154. | MR | Zbl
:[9] Universal Algebra. Princeton: Van Nostrand (1968). | MR | Zbl
:[10] Extended topology: Set-valued set-functions. Nieuw Arch. Wisk. 10 (1962) 55-77. | MR | Zbl
:[11] Semispaces and the topology of convexity. Proceedings of Symposia in Pure Mathematics 7 (Convexity), pp. 305-316. Providence: American Mathematical Society (1963). | MR | Zbl
:[12] Geometric Functional Analysis and its Applications. New York: Springer-Verlag (1975). | MR | Zbl
:[13] Partition numbers for trees and ordered sets. Pacific J. Math. 96 (1981) 115-140. | MR | Zbl
:[14] A perspective on abstract convexity: Classifying alignments by varieties. Proceedings of the Second University Oklahoma Conference (Convexity and related combinatorial geometry), pp. 113-150. Normal: Marcel Dekker, (1980). | MR | Zbl
:[15] Relative extreme points. Proceedings of the International Symposium on Linear Spaces, pp. 282-289. Jerusalem: Jerusalem Academic Press (1961). | MR | Zbl
:[16] Terminal subsets of convex sets in finite-dimensional real normed spaces. Colloq. Math. (to appear). | MR | Zbl
:[17] Relative extreme subsets. Compositio Math. 56 (1985) 233-236. | EuDML | Numdam | MR | Zbl
:[18] Independence in abstract algebras. Results and problems. Colloq. Math. 14 (1966) 169-188. | EuDML | MR | Zbl
:[19] Convex Analysis. New York: Princeton University Press (1970). | MR | Zbl
:[20] Über die Rolle der transfiniten Schlussweisen in einer allgemeinen Idealtheorie. Math. Nachr. 7 (1952) 162-168. | MR | Zbl
:[21] Einige grundlegende Begriffe und Sätze aus der Theorie der Hüllenoperatoren. Bericht Über Mathematische Tagung, pp. 21-48. Berlin: Deutscher Verlag der Wissenschaften (1953). | MR | Zbl
:[22] Generalizations of Helly's theorem: Open problems. Proceedings of the Second University Oklahoma Conference (Convexity and related combinatorial geometry), pp. 173-192. Norman: Marcel Dekker (1980). | MR | Zbl
:[23] Pseudo-boundaries and pseudo-interiors for topologicaly convexities. Dissertationes Math. 210 (1983) 1-76. | EuDML | MR | Zbl
:[24] On the hull operator. Indag. Math. 38 (1976) 179-184. | MR | Zbl
: