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math.LO2023
Continuous images of closed sets in generalized Baire spaces
Philipp Lücke, Philipp Schlicht
Let be an uncountable cardinal with . Given a cardinal , we equip the set consisting of all functions from to with the topology whose basic open…
math.LO2023
The open dihypergraph dichotomy for generalized Baire spaces and its applications
Philipp Schlicht, Dori Sziráki
The open graph dichotomy for a subset of the Baire space states that any open graph on either admits a coloring in countably many colors or contains a perfect compl…