A position in infinite chess with game value ${\omega }^4$

Abstract

We present a position in infinite chess exhibiting an ordinal game value of ${\omega }^4$, thereby improving on the previously largest-known values of ${\omega }^3$ and ${\omega }^3\cdot 4$.

24 pages. 6 chess diagrams. Commentary concerning this paper can be made at http://jdh.hamkins.org/a-position-in-infinite-chess-with-game-value-omega-to-the-4