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math.GN2011★ 10 cited
Pointwise convergence of partial functions: The Gerlits-Nagy Problem
Tal Orenshtein, Boaz Tsaban
For a set $X\sbst\R$, let $B(X)\sbst\R^X$ denote the space of Borel real-valued functions on , with the topology inherited from the Tychonoff product . Assume that for eac…
math.GN2009★ 26 cited
Linear -additivity and some applications
Tal Orenshtein, Boaz Tsaban
We show that countable increasing unions preserve a large family of well-studied covering properties, which are not necessarily sigma-additive. Using this, together with infinite-c…