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Categorical and topological properties of the functor of Radon functionals

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Abstract In this paper we introduce a functor O S R of semiadditive Radon functionals in the category T y c h of Tychonoff spaces, which extends the functor O… Click to show full abstract

Abstract In this paper we introduce a functor O S R of semiadditive Radon functionals in the category T y c h of Tychonoff spaces, which extends the functor O S : C o m p → C o m p of semiadditive functionals. It is proved that the functor O S R : T y c h → T y c h is normal in the category of Tychonoff spaces.

Keywords: properties functor; categorical topological; functor radon; topology; radon functionals; topological properties

Journal Title: Topology and its Applications
Year Published: 2020

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