This is an announcement for the paper "Point-open games and productivity of dense-separable property" by Jarno Talponen.
Abstract: In this note we study the point-open topological games to analyze the least upper bound for density of dense subsets of a topological space. This way we may also analyze the behavior of such cardinal invariants in taking products of spaces. Various related cardinal equalities and inequalities are given. As an application we take a look at Banach spaces with the property (CSP) which can be formulated by stating that each weak-star dense linear subspace of the dual is weak-star separable.
Archive classification: math.GN math.FA
Mathematics Subject Classification: 54A25, 54D70, 91A44, 46B26, 03E60
Submitted from: talponen@iki.fi
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1506.06080
or
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alspach＠math.okstate.edu