Density topology and approximate continuity

DOI10.1215/S0012-7094-61-02847-2zbMath0101.15502MaRDI QIDQ774355

Casper Goffman, Togo Nishiura, Christoph Neugebauer

Publication date: 1961

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

topology

Related Items (43)

Extension theorems on derivatives of additive interval functions ⋮ On the sparse set topology ⋮ Nonstandard Measure Theory: Avoiding Pathological Sets ⋮ Connectivity properties of the range of a weak diffeomorphism ⋮ On thin, very thin, and slim dense sets ⋮ Ordinary and strong density continuity of complex analytic functions ⋮ Density topologies for strictly positive Borel measures ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Lower density operators. ?_{f} versus ?_{d} ⋮ Approximations by differences of lower semicontinuous and finely continuous functions ⋮ The universal completion of \(C(X)\) and unbounded order convergence ⋮ \(q\)-density points and \(q\)-density topologies ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Uniform density topology ⋮ On approximate derivates and their properties ⋮ Unnamed Item ⋮ Group action and shift-compactness ⋮ On a generalization of density topologies on the real line ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ Non-absolutely convergent integrals with respect to distributions ⋮ Unnamed Item ⋮ A category \(\Psi \)-density topology ⋮ Strict density topology on the plane. Measure case ⋮ On functions continuous with respect to a density type strong generalized topology ⋮ A Topology for Certain Measure Spaces ⋮ On the first class of Baire generated by continuous functions on \(R^ N\) relative to the almost Euclidean topology ⋮ Complete density topology ⋮ Some Modifications of Density Topologies ⋮ A pointwise spectrum and representation of operators ⋮ Characteristic Functions and Products of Bounded Derivatives ⋮ Pointwise density topology ⋮ Continuous or measurable selections ⋮ On Density Topologies with Respect to Invariant σ-Ideals ⋮ Pointwise density topologies with respect to a fixed sequence ⋮ Unnamed Item ⋮ The quasi topology associated with a countably subadditive set function ⋮ Topologies which generate a complete measure algebra ⋮ Simple density topology ⋮ The topology of almost everywhere continuous, approximately continuous functions ⋮ On the lifting property and disintegration of measures ⋮ Ordinarily approximately continuous selections ⋮ Applications to analysis of a topological definition of smallness of a set ⋮ Darboux Property For Functions of Several Variables

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