New generalizations of Sierpinski theorem(in Ukrainian)
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
We introduce the notion of equi-feeblycontinuity which ressembles S. Kempisty's equi-quasicontinuity. Using this fresh notion and weak horizontal quasicontinuity, we obtain new generalizations of Sierpinski theorem on separately continuous functions.
Authors and Affiliations
Volodymyr Maslyuchenko, O. I. Filipchuk
Keywords
Related Articles
- EP ID EP310054
- DOI 10.15330/ms.47.1.91-99
- Views 41
- Downloads 0
Asymptotic properties of the impulse perturbation process under Levy approximation conditions with the point of equilibrium of the quality criterion
For the system of stochastic differential equations with Markov switchings and impulse disturbance in the conditions of Levy approximation in the conditions of a single point of equilibrium of the quality criterion, limi...
Homomorphisms between rings with infinitesimals and infinitesimal comparisons
We examine an argument of Reeder suggesting that the nilpotent infinitesimals in Paolo Giordano's ring extension of the real numbers ∙R are smaller than any infinitesimal hyperreal number of Abraham Robinson's nonstandar...
The Fourier problem for weakly nonlinear integro-differential elliptic-parabolic systems
The Fourier problem or, in other words, the problem without initial conditions for weakly nonlinear elliptic-parabolic systems are considered in this paper. The existence and uniqueness solutions of the problem are prove...
Lattices of coarse structures
We consider the lattice of coarse structures on a set X and study metrizable, locally finite and cellular coarse structures on X from the lattice point of view.
Metrically Ramsey ultrafilters
Given a metric space (X,d), we say that a mapping χ:[X]2⟶{0,1} is an isometric coloring if d(x,y)=d(z,t) implies χ({x,y})=χ({z,t}). A free ultrafilter U on an infinite metric space (X,d) is called metrically Ramsey if, f...