On strong measure zero subsets of
Aapo Halko, Saharon Shelah (2001)
Fundamenta Mathematicae
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We study the generalized Cantor space and the generalized Baire space as analogues of the classical Cantor and Baire spaces. We equip with the topology where a basic neighborhood of a point η is the set ν: (∀j < i)(ν(j) = η(j)), where i < κ. We define the concept of a strong measure zero set of . We prove for successor that the ideal of strong measure zero sets of is -additive, where is the size of the smallest unbounded family in , and that the generalized Borel...