Messbare Mengen von Massen und Inhalten.
Mesures aléatoires -régulières
Mesures sur les espaces uniformes de type
Mesures uniformes maximales
Mixtures of nonatomic measures. III
Moderation of sigma-finite Borel measures.
New topological measures on the torus
Recently Entov and Polterovich asked if the Grubb measure was the only symplectic topological measure on the torus. Much to our surprise we discovered a whole new class of intrinsic simple topological measures on the torus, many of which were symplectic.
Non-amenable groups with amenable action and some paradoxical decompositions in the plane
Nonseparable Radon measures and small compact spaces
We investigate the problem if every compact space K carrying a Radon measure of Maharam type κ can be continuously mapped onto the Tikhonov cube (κ being an uncountable cardinal). We show that for κ ≥ cf(κ) ≥ κ this holds if and only if κ is a precaliber of measure algebras. Assuming that there is a family of null sets in such that every perfect set meets one of them, we construct a compact space showing that the answer to the above problem is “no” for κ = ω. We also give alternative proofs...
Normal characterizations of lattices.
Normal lattices and coseparation of lattices.
On Alexandrov lattices.
On asymptotic density and uniformly distributed sequences
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
On barycentrs in non-compact sets
On certain Wallman spaces.
On compact spaces carrying Radon measures of uncountable Maharam type
If Martin’s Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable space, then there is a continuous surjection from X onto .
On compact spaces carrying random measures of large Maharam type
On compactness of lattices.
On constructing finite, finitely subadditive outer measures, and submodularity.
On extension of Baire submeasures