8 citations · 12 across the 8 of their papers we have counts for
13 papers
On Rigid Minimal Spaces
J. P. Boroński, Jernej Činč, Magdalena Foryś-Krawiec
A compact space is said to be minimal if there exists a map such that the forward orbit of any point is dense in . We consider rigid minimal spaces, motivated by…
Prime Ends Dynamics in Parametrised Families of Rotational Attractors
Jan P. Boroński, Jernej Činč, Xiao-Chuan Liu
We provide several new examples in dynamics on the -sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families…
All minimal Cantor systems are slow
J. P. Boroński, J. Kupka, P. Oprocha
We show that every (invertible, or noninvertible) minimal Cantor system embeds in with vanishing derivative everywhere. We also study relations between local shrinking…
Minimal non-invertible maps on the pseudo-circle
Jan P. Boronski, Judy Kennedy, Xiao-Chuan Liu +1
In this article, we show that R.H. Bing's pseudo-circle admits a minimal non-invertible map. This resolves a problem raised by Bruin, Kolyada and Snoha in the negative. The main to…
On minimal manifolds
J. P. Boronski, G. Kozlowski
Let be a compact manifold of dimension at least 2. If admits a minimal homeomorphism then admits a minimal noninvertible map.
A note on fixed points of abelian actions in dimension one
Jan P. Boronski
The result of Boyce and Huneke gives rise to a 1-dimensional continuum, which is the intersection of a descending family of disks, that admits two commuting homeomorphisms without…