4 papers
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…
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…
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…
Metric duality for Abelian groups
Piotr Niemiec
The main aim of the paper is to introduce the concept of metric duality in the category of topological Abelian groups that extends the classical notion of duality for normed vector…