1 citations · 1 across the 4 of their papers we have counts for
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Borel Measurable Hahn-Mazurkiewicz Theorem
Jan Dudák, Benjamin Vejnar
It is well known due to Hahn and Mazurkiewicz that every Peano continuum is a continuous image of the unit interval. We prove that an assignment, which takes as an input a Peano co…
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…