Abstract
We consider an infinite game on a group $G$, defined relative to a subset $A$ of $G$. The game is denoted $\mathsf{G}(G,A)$. The finite version of the game, introduced in [1], was inspired by an attack on the RSA crypto-system as used in an implementation of SSL. Besides identifying circumstances under which player TWO does not have a winning strategy, we show for the topological group of real numbers that if $C$ is a set of real numbers having a selection property (*) introduced by Gerlits and Nagy, then for any interval $J$ of positive length, TWO has a winning strategy in the game $\mathsf{G}(\mathbb{R},J \cup C)$
Citation
Liljana Babinkostova . Marion Scheepers . "An infinite game on groups.." Real Anal. Exchange 29 (2) 739 - 754, 2003-2004.
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