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math.GN2011★ 19 cited
Weak extent, submetrizability and diagonal degrees
D. Basile, A. Bella, G. J. Ridderbos
We show that if has a zero-set diagonal and has countable weak extent, then is submetrizable. This generalizes earlier results from Martin and Buzyakova. Furthermore…
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…