On strong measure zero subsets of κ 2

Abstract

We study the generalized Cantor space 2 and the generalized Baire space κ as analogues of the classical Cantor and Baire spaces. We equip κκ 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 2. We prove for successor κ = κ that the ideal of… (More)

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