Extremal elements in a hypercomplex space
DOI:
https://doi.org/10.15407/dopovidi2016.04.013Keywords:
h-extremal beam, h-extremal point, h-hull of a set, H-quasiconvex set, hypercomplex convex set, strongly hypercomplex convex setAbstract
Extremal elements and a h-hull of sets in the n-dimensional hypercomplex space Hn are investigated. The class of H-quasiconvex sets including strongly hypercomplex convex sets and being closed with respect to intersections is introduced.
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Zelinskii Yu. B. Convexity. Selected chapters, Kyiv: Institute of Mathematics of the NAS of Ukraine, 2012 (in Russian).
Kantor I. L., Solodovnikov A. S. Hypercomplex numbers, Moscow: Nauka, 1973 (in Russian).
Mkrtchyan G. A. On hypercomplex convex sets, Preprint, AS USSR, Institute of Mathematics, 87.42, Kyiv, 1987 (in Russian).
Mkrtchyan G. A. On hypercomplex convexity, V Tiraspol. workshop on general topology, Kishinev: Shtiintsa, 1985 (in Russian).
Mkrtchyan G. A. Ukr. Mat. J., 1990, 42, No 2: 182–187 (in Russian).
Zelinskii Yu. B., Mkrtchyan G. A. Dokl. AN SSSR, 1990, 311, No 6: 1299–1302 (in Russian).
Leyhtveys K. Convex sets, Moscow: Nauka, 1985 (in Russian).
Spener E. Algebraic topology, Moscow: Mir, 1971 (in Russian).
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