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Matejdes, Milan
On selections of multifunctions. (English). Mathematica Bohemica, vol. 118 (1993), issue 3, pp. 255-260
MSC: 26B20, 26E25, 28B20, 54C60, 54C65 | MR 1239120 | Zbl 0785.54022 | DOI: 10.21136/MB.1993.125931
Keywords:
cliquishness; cliquish compact-valued multifunctions; quasi-continuous and Baire measurable selection
Summary:
The purpose of this paper is to introduce a definition of cliquishness for multifunctions and to study the search for cliquish, quasi-continuous and Baire measurable selections of compact valued multifunctions. A correction as well as a generalization of the results of [5] are given.
References:
[1] W. W. Bledsoe: Neighborly functions. PAMS 3(1952), 114-115. DOI 10.1090/S0002-9939-1952-0045791-7 | MR 0045791 | Zbl 0046.40301
[2] R. Engelking: Topologia ogólna. PWN, Warszawa, 1976. MR 0500779 | Zbl 0373.54001
[3] L. A. Fudali: On cliquish functions on product spaces. Math. Slovaca 33 (1983), 53-58. MR 0689278 | Zbl 0512.54007
[4] M. Matejdes: Sur les seléctors des multifonctions. Math. Slovaca 37 (1987), 111-124. MR 0899022
[5] M. Matejdes: On the cliquish, quasicontinuous and measurable selections. Math. Bohemica 116(1991), 170-173. MR 1112001 | Zbl 0736.54012
[6] T. Neubrunn: Quasi-continuity. Real Anal. Exchange 14 (1988-89), 259-306. MR 0995972
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