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math.GN2025
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…
math.GN2025
On Sierpiński sets, Hurewicz spaces and Hilgers functions
Witold Marciszewski, Roman Pol, Piotr Zakrzewski
The Hurewicz property is a classical generalization of -compactness and Sierpiński sets (whose existence follows from CH) are standard examples of non--compact Hurewicz space…