On Ramsey properties, function spaces, and topological games
An open question of Gruenhage asks if all strategically selectively separable
 spaces are Markov selectively separable, a game-theoretic statement known to
 hold for countable spaces. As a corollary of a result by Berner and Juh?sz,
 we note that the ?strong? version of this statement, where the second player
 is restricted to selecting single points rather than finite subsets, holds
 for all T3 spaces without isolated points. Continuing this investigation, we
 also consider games related to selective sequential separability, and
 demonstrate results analogous to those for selective separability. In
 particular, strong selective sequential separability in the presence of the
 Ramsey property may be reduced to a weaker condition on a countable
 sequentially dense subset. Additionally, ?- and ?-covering properties on X
 are shown to be equivalent to corresponding sequential properties on Cp(X).
 A strengthening of the Ramsey property is also introduced, which is still
 equivalent to ?2 and ?4 in the context of Cp(X).