Zero-Markov information in topological games
Steven Clontz · 2015
A 0-Markov strategy in a topological game considers only the round number and ignores all moves by the opponent. The existence of a winning 0-Markov strategy in either of two games due to Gruenhage char- acterizes hemicompactness in either locally compact or compactly generated spaces. However, there exists a non-compactly generated space for which there exists a winning 0-Markov strategy in one game but not the other.