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A Continuity Theorem for Cores of Random Closed Sets
If a sequence of random closed sets Xn in a separable complete metric space converges in distribution in the Wijsman topology to X, then the corresponding sequence of cores (sets of probability measures dominated by the capacity functional of Xn) converges to the core of the capacity of X. Core convergence is achieved not only in the Wijsman topology, but even in the stronger Vietoris topology....
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Balachandran, K. , Sundaram, P. and Maki, H. 1996 Generalized locally closed sets and GLC-continuous functions, Indian J. Pure Appl. Math. , 27(3) (1996), 235-244. Bourbaki, N. 1966 General Topology, Part 1, AddisonWesley (Reading, Mass, 1966). Devi, R. , Sampathkumar, S. and caldas, 2008 M. On supra S-open sets and S-continuous functions, General Mathematics, 16(2) (2008), 77-84. Ganster, M. a...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1935
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1935-06020-3