Results 1 to 10 of about 364 (52)
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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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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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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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 sequential separability of functional spaces [PDF]
, 2016 In this paper, we give necessary and sufficient conditions for the space B_1(X) of first Baire class functions on a Tychonoff space X, with pointwise topology, to be (strongly) sequentially separable.Comment: 8 ...
Osipov, Alexander V. +1 more
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On the weak and pointwise topologies in function spaces [PDF]
, 2015 For a compact space $K$ we denote by $C_w(K)$ ($C_p(K)$) the space of continuous real-valued functions on $K$ endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that $K$ is an
Krupski, Mikołaj
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On separability of the functional space with the open-point and bi-point-open topologies [PDF]
, 2016 In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.Comment: 10 ...
Osipov, Alexander V.
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On extension functions for image space with different separation axioms [PDF]
, 2016 In this paper we study a sufficient conditions for continuous and almost continuous extensions of f to space X for an image space Y with different separation axioms.Comment: 11 ...
Osipov, Alexander V.
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