6 citations · 15 across the 20 of their papers we have counts for
24 papers
The circle as a topological fractal
Benjamin Vejnar
We prove that no family of two continuous self-maps witnesses that the circle is a topological fractal, answering a question of Karasová and the present author. Since three maps ar…
Classification complexity of homeomorphism group actions
Michal Hevessy, Benjamin Vejnar
In this paper, we study how the classification complexity of natural orbit equivalence relations changes when the full homeomorphism group of a compact metrizable space is replaced…
The converse to Borsuk's result on fans fails
Benjamin Vejnar
A fan is an arc-wise connected hereditarily unicoherent continuum with exactly one branching point. By a result of Borsuk, every fan is a 1-dimensional continuum that can be expres…
Dynamics on fences
Jernej Činč, Udayan B. Darji, Benjamin Vejnar
Homeomorphisms of the Cantor set play a central role in topology, dynamical systems and descriptive set theory. In parallel, several classes of fence-like spaces - such as the hair…
The Complexity of Connectedness Relations on Polish Spaces
Michal Hevessy, Yusuf Uyar, Benjamin Vejnar
We systematically investigate three different equivalence relations of connectedness: being connected by arcs, being connected by continua and being connected by chains of continua…
Linear orders on chainable continua
Witold Marciszewski, Julia Ścisłowska, Benjamin Vejnar
We define and study certain linear orders on chainable continua. Those orders depend on a sequence of chains obtained from definition of chainability and on a fixed non-principal u…