Equivalences hold between Player II winning strategies in the Ω-Menger game on X and the countable fan tightness game on C_p(X,G) at the identity, and analogously for Ω-Rothberger and strong fan tightness, when G is metrizable arc-connected.
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Countable Fan Tightness and Selection Games in Group-Valued Function Spaces
Equivalences hold between Player II winning strategies in the Ω-Menger game on X and the countable fan tightness game on C_p(X,G) at the identity, and analogously for Ω-Rothberger and strong fan tightness, when G is metrizable arc-connected.