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math.GN2024
Compact spaces homeomorphic to their respective squares
Jan Dudák, Benjamin Vejnar
We deal with topological spaces homeomorphic to their respective squares. Primarily, we investigate the existence of large families of such spaces in some subclasses of compact met…
math.GN2022
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…
math.GN2020
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…