2 citations · 4 across the 5 of their papers we have counts for
6 papers
The Ramsey properties for Grassmannians over ,
Dana Bartošová, Jordi Lopez-Abad, Martino Lupini +1
In this note we study and obtain factorization theorems for colorings of matrices and Grassmannians over and , which can be considered metric versions of…
Fraïssé structures and a conjecture of Furstenberg
Dana Bartošová, Andy Zucker
We study problems concerning the Samuel compactification of the automorphism group of a countable first-order structure. A key motivating question is a problem of Furstenberg and a…
Universal minimal flow of the homeomorphism group of the Lelek fan
Dana Bartošová, Aleksandra Kwiatkowska
We compute the universal minimal flow of the homeomorphism group of the Lelek fan -- a one-dimensional tree-like continuum with many symmetries.
Ramsey property for Boolean algebras with ideals and
Dana Bartošová
We apply the Dual Ramsey Theorem of Graham and Rothschild to prove the Ramsey property for classes of finite Boolean algebras with distinguished ideals. This allows us to compute t…
Universal minimal flow in the language of near filters and its applications
Dana Bartošová
We describe the greatest ambit and the universal minimal flow as spaces of near ultrafilters. We translate other notions of topological dynamics into this language and show how thi…
Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
Dana Bartošová
It is a well-known fact, that the greatest ambit for a topological group is the Samuel compactification of with respect to the right uniformity on We apply the origina…