On functions continuous with respect to a density type strong generalized topology
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Jacek Hejduk
and
Anna Loranty
Abstract
In the paper, some properties of functions continuous with respect to a density type strong generalized topology are presented. In particular, it is proved that each real function is approximately continuous with respect to this generalized topology almost everywhere. Moreover, some separation axioms for this generalized topological space are investigated.
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Articles in the same Issue
- Frontmatter
- On a class of nonlinear elliptic problems with obstacle
- Higher-order commutators with power central values on rings and algebras involving generalized derivations
- A nonseparable invariant extension of Lebesgue measure – A generalized and abstract approach
- Localized boundary-domain singular integral equations of the Robin type problem for self-adjoint second-order strongly elliptic PDE systems
- On the Skitovich–Darmois theorem for complex and quaternion random variables
- Oscillation theorems for second-order delay difference equations with superlinear neutral terms
- On functions continuous with respect to a density type strong generalized topology
- A note on the trace inequality for Riesz potentials
- Degree of approximation in the space H ω p by the even-type delayed arithmetic mean of Fourier series
- Helicoidal surfaces with prescribed curvatures in a conformally flat 3-space
- On n-Hom-Leibniz algebras and cohomology
- The consistent criteria for hypotheses testing
- 𝑞-Tricomi functions and quantum algebra representations
- Continuous abstract wavelet transform on homogeneous spaces
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