On the functor of semiadditive \(\tau\)-smooth functionals

DOI10.1016/j.topol.2017.02.037zbMath1375.54010OpenAlexW2586650717MaRDI QIDQ2400859

N. K. Mamadaliev, Ruzinazar Beshimov

Publication date: 30 August 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.02.037

zbMATH Keywords

densityweak densitysemi-additive functional\(\tau\)-smooth functional

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Spaces of measures (46E27) Special properties of functors (faithful, full, etc.) (18A22) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Definitions and generalizations in theory of categories (18A05) Categories of machines, automata (18B20)

Related Items (5)

Index boundedness and uniform connectedness of space of the G-permutation degree ⋮ A note on functional tightness and minitightness of space of the $G$-permutation degree ⋮ On functional tightness and local density of the space of probability measures ⋮ Categorical and topological properties of the functor of Radon functionals ⋮ Some topological properties of a functor of finite degree

Cites Work

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• On certain properties of the spaces of order-preserving functionals
• Extension of normal functors
• Some categorical properties of the functors \(O_\tau \) and \(O_R\) of weakly additive functionals
• Nonincrease of density and weak density under weakly normal functors

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