# Difference between revisions of "Omega one chess"

From Cantor's Attic

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− | {{DISPLAYTITLE: The omega one of chess, $\omega_1^{\rm chess}$}} | + | {{DISPLAYTITLE: The omega one of infinite chess, $\omega_1^{\rm chess}$}} |

The ''omega one of chess'', denoted $\omega_1^{\rm chess}$, is the supremum of the ordinal game values of the finite positions of infinite chess, played with the usual chess pieces on an infinite board with no edges. | The ''omega one of chess'', denoted $\omega_1^{\rm chess}$, is the supremum of the ordinal game values of the finite positions of infinite chess, played with the usual chess pieces on an infinite board with no edges. | ||

+ | |||

+ | The exact value of this ordinal is not known. |

## Revision as of 12:05, 30 December 2011

The *omega one of chess*, denoted $\omega_1^{\rm chess}$, is the supremum of the ordinal game values of the finite positions of infinite chess, played with the usual chess pieces on an infinite board with no edges.

The exact value of this ordinal is not known.