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Categorial and topological properties of the functor of Radon functionals

R. B. Beshimova, N. K. Mamadalievb

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Institute of Mathematics, National University of Uzbekistan named by after Mirzo Ulugbek

Abstract: It is introduced a new functor $OS_R$ of semiadditive Radon functionals in the category of Tychonov spaces. It is proved that the functor $OS_R$ is normal in category of Tychonov spaces.


© Steklov Math. Inst. of RAS, 2024