This book is concerned with a certain circle of questions from classical real analysis and
measure theory. First, we would like to stress that the choice of topics presented in the text is …

We study the interplay between additivity (as in the Cauchy functional equation),
subadditivity and linearity. We obtain automatic continuity results in which additive or …

The theme here is category-measure duality, in the context of a topological group. One can
often handle the (Baire) category case and the (Lebesgue, or Haar) measure cases …

This monograph gives the reader an up-to-date account of the fine properties of real-valued
functions and measures. The unifying theme of the book is the notion of nonmeasurability …

We consider variants on the classical Berz sublinearity theorem, using only DC, the Axiom of
Dependent Choices, rather than AC, the Axiom of Choice, which Berz used. We consider …

In this the final part of the four-part series [BinO3; 4, 5, 6] on theorems of Steinhaus-Weil
type, as a companion piece to Part III,[BinO6], on Weil-type refinement topologies, we study …

Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure |
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It is shown how the Steinhaus property and ergodicity of a translation invariant extension μ
of the Lebesgue measure depend on the measure-theoretic density of μ-measurable sets …

Remarks on Analogies Between Haar Meager Sets and Haar Null Sets | SpringerLink Skip to
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