8 papers
Rokhlin properties in homeomorphism groups of compact metric spaces
Maciej Malicki
We develop a general framework for studying generic homeomorphisms of compact metric spaces using combinatorial amalgamation methods inspired by Fraïssé theory. Our approach combin…
Universal homogeneous two-sorted ultrametric spaces
Adam BartoÅ¡, WiesÅaw KubiÅ, Aleksandra Kwiatkowska +1
We view ultrametric spaces as two-sorted structures consisting of a set of points and of a linearly ordered set of distances. We call the appropriate notion of embeddings distance-…
Generic dc-automorphisms of two-sorted ultrametric spaces
Adam BartoÅ¡, WiesÅaw KubiÅ, Aleksandra Kwiatkowska +1
We continue to study ultrametric spaces as two-sorted structures consisting of a set of points and of a linearly ordered set of distances, together with the dc-embeddings, which we…
A logic of co-valuations
Maciej Malicki
A co-valuation is, essentially, a minimal finite cover. We introduce a logic based on co-valuations, which play the role of valuations of free variables in classical first-order lo…
The rational Gurarii space and its linear isometry group
OndÅej Kurka, Maciej Malicki
We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation proper…
Isomorphism of almost locally compact Polish metric structures
Maciej Malicki
A topological space is almost locally compact if it contains a dense locally compact subspace. We generalize a result from \cite{Ma}, showing that isomorphism on Borel classes of a…