Abstract We investigate Maker–Breaker games on graphs of size $\aleph _1$ in which Maker’s goal is to build a copy the host graph. establish firm dependence outcome game axiomatic framework. Relating this, we prove that there winning strategy for Maker $K_{\omega ,\omega _1}$ -game under ZFC+MA+ $\neg $ CH and Breaker ZFC+CH. similar result -game. Here, has ZF+DC+AD, while one ZFC+CH again.

Musician Maker is a system to allow novice players the opportunity to create expressive improvisational music. While the system plays an accompaniment background chord progression, each participant plays some kind of controller to make music through the system. The program takes the signals from the controllers and adjusts the pitches somewhat so that the players are limited to notes which fit ...