3 citations · 6 across the 11 of their papers we have counts for
7 papers · 1 filter
On subadditive functions upper bounded on a 'large' set
N. H. Bingham, Eliza Jablonska, Wojciech Jablonski +1
The notion of a shift-compact set in an abelian topological group plays a significant role in functional equations and inequalities, especially so since each Borel set that is…
Beyond Erdős-Kunen-Mauldin: Singular sets with shift-compactness properties
H. I. Miller, L. Miller-Van Wieren, A. J. Ostaszewski
The Kestelman-Borwein-Ditor Theorem asserts that a non-negligible subset of which is Baire (=has the Baire property, BP) or measurable is shift-compact: it contains so…
Sequential regular variation: extensions of Kendall's theorem
N. H. Bingham, A. J. Ostaszewski
Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases.…
General Regular Variation, Popa Groups and Quantifier Weakening
N. H. Bingham, A. J. Ostaszewski
We introduce general regular variation, a theory of regular variation containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifyin…
Set Theory and the Analyst
N. H. Bingham, A. J. Ostaszewski
This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure -- category-measure duality and non-duality…
Variants on the Berz sublinearity theorem
N. H. Bingham, A. J. Ostaszewski
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 thi…