scientific article; zbMATH DE number 1857851

zbMath1021.28002MaRDI QIDQ4788814

Władysław Wilczyński

Publication date: 13 October 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

approximately continuous functionsdensity pointlower density operator\(\Psi\)-density topologies

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (32)

On a strong generalized topology with respect to the outer Lebesgue measure ⋮ A lower density operator for the Borel algebra ⋮ Almost semi-correspondence ⋮ Density topologies for strictly positive Borel measures ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Algebrability of \(\mathcal{S}\)-continuous functions ⋮ Lower density operators. ?_{f} versus ?_{d} ⋮ The descriptive set theory of the Lebesgue density theorem ⋮ On topologies generated by some operators ⋮ On \(\Delta_2\) condition for density-type topologies generated by functions ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Uniform density topology ⋮ Lower density type operators with Borel values ⋮ Unnamed Item ⋮ Group action and shift-compactness ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ A category \(\Psi \)-density topology ⋮ On functions continuous with respect to a density type strong generalized topology ⋮ Complete density topology ⋮ Interior in the simple density topology ⋮ On \(f\)-density topologies ⋮ On abstract generalized topological spaces generated by the density type operators ⋮ Remarks on the topologies in the Lebesgue measurable sets ⋮ HANDMADE DENSITY SETS ⋮ Some kinds of sparseness on the real line and ideals on \(\omega \) ⋮ On continuity in generalized topology ⋮ On topologies related to the extension of the Lebesgue measure ⋮ Generalized densities on \(\mathbb{R}^n\) and their applications ⋮ On some properties of operators generated by regular sequences of measurable sets ⋮ Baire category lower density operators with Borel values

This page was built for publication: