-fuzzy -algebras.
0-regularity varying function.
50 years sets with positive reach -- a survey.
A Best Covering Problem.
A Borel extension approach to weakly compact operators on
Let be a quasicomplete locally convex Hausdorff space. Let be a locally compact Hausdorff space and let , is continuous and vanishes at infinity be endowed with the supremum norm. Starting with the Borel extension theorem for -valued -additive Baire measures on , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map to be weakly compact.
A Borel topos
A Cantor regular set which does not have Markov's property
A Cantor set in the plane that is not σ-monotone
A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.
A categorical approach to integration.
A category analogue of the density topology
A category Ψ-density topology
Ψ-density point of a Lebesgue measurable set was introduced by Taylor in [Taylor S.J., On strengthening the Lebesgue Density Theorem, Fund. Math., 1958, 46, 305–315] and [Taylor S.J., An alternative form of Egoroff’s theorem, Fund. Math., 1960, 48, 169–174] as an answer to a problem posed by Ulam. We present a category analogue of the notion and of the Ψ-density topology. We define a category analogue of the Ψ-density point of the set A at a point x as the Ψ-density point at x of the regular open...
A central limit theorem for processes generated by a family of transformations [Book]
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space.
A chaotic function with zero topological entropy having a non-perfect attractor
A characterization and moving average representation for stable harmonizable processes.
A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an -neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an ε-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
A characterization of group-valued measures satisfying the countable chain condition
A characterization of Jordan and Lebesgue measures