1 citations · 1 across the 3 of their papers we have counts for
5 papers
The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension
Jan Dudák, Benjamin Vejnar
We are dealing with the complexity of the homeomorphism equivalence relation on some classes of metrizable compacta from the viewpoint of invariant descriptive set theory. We prove…
There is no compact metrizable space containing all continua as unique components
Benjamin Vejnar
We answer a question of Piotr Minc by proving that there is no compact metrizable space whose set of components contains a unique topological copy of every metrizable compactificat…
The complexity of homeomorphism relations on some classes of compacta
Paweł Krupski, Benjamin Vejnar
We prove that the homeomorphism relation between compact spaces can be continuously reduced to the homeomorphism equivalence relation between absolute retracts which strengthens an…
Constant slope, entropy and horseshoes for a map on a tame graph
Adam Bartoš, Jozef Bobok, Pavel Pyrih +2
We study continuous countably (strictly) monotone maps defined on a tame graph, i.e., a special Peano continuum for which the set containing branchpoints and endpoints has a counta…
Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point
Benjamin Vejnar
We are dealing with the question whether every group or semigroup action (with some additional property) on a continuum (with some additional property) has a fixed point. One of su…