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math.GN2011
Short proof of a theorem of Juhasz
Santi Spadaro
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juhász.
math.GN2011
Variations of selective separability II: discrete sets and the influence of convergence and maximality
Angelo Bella, Mikhail Matveev, Santi Spadaro
A space is called selectively separable(R-separable) if for every sequence of dense subspaces one can pick finite (respectively, one-point) subsets $F_n\subset…