Results 1 to 10 of about 49 (48)
Boundedness properties in function spaces
Quaestiones Mathematicae, 2018 Some boundedness properties of function spaces (considered as topological groups) are studied.Mathematics Subject Classification (2010): Primary: 54C35; Secondary: 54D20, 54H11.Keywords: Function spaces, ℵ0-bounded, M-bounded, H-bounded, R-bounded, σ ...
Ľubica Holá, Ljubisa D R Kočinac
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A note on bf-spaces and on the distribution of the functor of the Dieudonné completion
Topological Algebra and its Applications, 2021 A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf-continuous if its restriction to each bounded subset of X has a continuous ...
Sanchis Manuel, Valero Óscar
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Separation functions and mild topologies
Analysis and Geometry in Metric Spaces, 2023 Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
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On some dense sets in the space of dynamical systems
Advanced Nonlinear Studies, 2023 The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue.
Pawlak Ryszard J., Poprawa Justyna
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A study of uniformities on the space of uniformly continuous mappings
Open Mathematics, 2020 New families of uniformities are introduced on UC(X,Y)UC(X,Y), the class of uniformly continuous mappings between X and Y, where (X,U)(X,{\mathcal{U}}) and (Y,V)(Y,{\mathcal{V}}) are uniform spaces.
Gupta Ankit +3 more
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Dual uniformities in function spaces over uniform continuity
Open Mathematics, 2022 The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces.
Gupta Ankit +3 more
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On the Hochschild cohomology of a map between commutative differential graded algebras
Topological Algebra and its Applications, 2022 We consider a surjective morphism between commutative differential graded algebras ϕ: (∧V, d) → (B, d), where V is finite dimensional, and (B, d) is a module over ∧V via the mapping ϕ.
Maphane Oteng, Gatsinzi Jean-Baptiste
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On the different kinds of separability of the space of Borel functions
Open Mathematics, 2018 In paper we prove that:
Osipov Alexander V.
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Averaging operators and set-valued maps [PDF]
, 2014 MSC 2010: 54C35, 54C60.We investigate maps admitting, in general, non-linear averaging operators. Characterizations of maps admitting a normed, weakly additive averaging operator which preserves max (resp., min) and weakly preserves min (resp., max) is ...
Valov, Vesko
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Some applications of exponentially separable spaces
, 2021 We prove that any finite product of functionally countable spaces is functionally countable if it has the Lindelöf property. In particular, any nite product of functionally countable Lindelof Σ-spaces is functionally countable.
Tkachuk, Vladimir V.
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