Abstract
It is proved that the axiom of determinateness of Mycielski and Steinhaus for games in which players alternate in writing reals implies that ω → (ω)ω2 (i-e. for every partition of infinite sets of natural numbers into two classes there is an infinite set such that all its infinite subsets belong to the same class).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 303-306 |
| Number of pages | 4 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 54 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1976 |