Normal subgroups of measurable automorphisms
Maximally conjugate sigma-algebras represented as hypergraphs
Minimal complementation and maximal conjugation for partitions, with an application to Blackwell sets
Measures on groups with given projections
Algebraic ramifications of the common extension problem for group-valued measures
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
On systems of null sets
The collection of all sets of measure zero for a finitely additive, group-valued measure is studied and characterised from a combinatorial viewpoint.
Generalized Lusin sets with the Blackwell property
Common extension of a family of group-valued, finitely additive measures
Borel-dense Blackwell spaces are strongly Blackwell
A generalised Mazurkiewicz-Sierpiński theorem with an application to analytic sets
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