A space X is selectively separable if for every quence (D(n): n is an element of omega) of dense subspaces of X one can select finite F(n) subset of D(n) so that boolean OR {F(n): n is an element of omega} is dense in X. In this paper selective separability and variations of this property are considered in two special cases: C(p) spaces and dense countable subspaces in 2(kappa).
Variations on selective separability
BELLA, Angelo;
2009-01-01
Abstract
A space X is selectively separable if for every quence (D(n): n is an element of omega) of dense subspaces of X one can select finite F(n) subset of D(n) so that boolean OR {F(n): n is an element of omega} is dense in X. In this paper selective separability and variations of this property are considered in two special cases: C(p) spaces and dense countable subspaces in 2(kappa).File in questo prodotto:
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