3 papers
math.DS2025
Automorphism groups of measures on the Cantor space. Part II: Abstract homogeneous measures
Piotr Niemiec
The main aim of the paper is to introduce a new class of (semigroup-valued) measures that are ultrahomogeneous on the Boolean algebra of all clopen subsets of the Cantor space and…
math.LO2025
Automorphism groups of measures on the Cantor space. Part I: Good measures and Rokhlin properties
Michal Doucha, Dominik Kwietniak, Maciej Malicki +1
We study criteria for the existence of a dense or comeager conjugacy class in the automorphism group of a given measure on the Cantor space. We concentrate on good measures, define…
math.MG2025
Two-point dilation-homogeneous metric spaces
Piotr Niemiec
The main aim of the paper is to give a full classification (up to isometry) of all metric spaces X with the following two properties: X contains a compact set with non-empty interi…