18 citations · 47 across the 11 of their papers we have counts for
11 papers · 1 filter
Projective Fraïssé limits and generalized Ważewski dendrites
Alessandro Codenotti, Aleksandra Kwiatkowska
We continue the study of projective Fraïssé limits of trees initiated by Charatonik and Roe and we construct many generalized Ważewski dendrites as the topological realization of a…
The automorphism group of the random poset does not admit a generic pair
Aleksandra Kwiatkowska, Aristotelis Panagiotopoulos
We show that the conjugacy class of every pair of automoprhisms of the random poset is meager. This answers a question of Truss; see also Kuske-Truss. EDIT. Work in progress, at th…
Ordered structures and large conjugacy classes
Aleksandra Kwiatkowska, Maciej Malicki
This article is a contribution to the following problem: does there exist a Polish non-archimedean group (equivalently: automorphism group of a Fraisse limit) that is extremely ame…
Topologically 2-generated groups
Aleksandra Kwiatkowska, Maciej Malicki
We prove that for a number of ultrahomogeneous structures , including those with the free amalgamation property, the powers of the automorphism group , $n=1,2,\…
Universal minimal flows of generalized Ważewski dendrites
Aleksandra Kwiatkowska
We study universal minimal flows of the homeomorphism groups of generalized Ważewski dendrites , . If is finite, we prove that the universal mini…
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.
Automorphism groups of countable structures and groups of measurable functions
Aleksandra Kwiatkowska, Maciej Malicki
Let be a topological group and let be the Lebesgue measure on the interval . We let to be the topological group of all -equivalence classes of -measur…
A classification of orbits admitting a unique invariant measure
Nathanael Ackerman, Cameron Freer, Aleksandra Kwiatkowska +1
We consider the space of countable structures with fixed underlying set in a given countable language. We show that the number of ergodic probability measures on this space that ar…
Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan
Dana Bartošová, Aleksandra Kwiatkowska
We generalize the finite version of Gowers' Ramsey theorem to multiple tetris-like operations and apply it to show that a group of homeomorphisms that preserve a "typical" linear o…
Large orbits, projective Fraisse limits, and the pseudo-arc
Aleksandra Kwiatkowska
We show that the conjugacy action of the automorphism group , of the projective Fraïssé limit , whose natural quotient is the pseudo-arc, on the…
Continuous functions taking every value a given number of times
Aleksandra Kwiatkowska
We give necessary and sufficient conditions on a function $f:[0,1]\to {0,1,2,...,ω,\continuum}$ under which there exists a continuous function such that for ever…