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Remarks on measurable Boolean algebras and sequential cardinals

G. Plebauek (1993)

Fundamenta Mathematicae

The paper offers a generalization of Kalton-Roberts' theorem on uniformly exhaustive Maharam's submeasures to the case of arbitrary sequentially continuous functionals. Applying the result one can reduce the problem of measurability of sequential cardinals to the question whether sequentially continuous functionals are uniformly exhaustive.

Removability of singularities with anisotropic growth

Miroslav Dont, Josef, Jr. Král (2003)

Mathematica Bohemica

With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.

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