PP-2004-22:
Bold, Stefan and Löwe, Benedikt
(2004)
*A simple inductive argument to compute more Kleinberg sequences under the Axiom of Determinacy.*
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## Abstract

A characteristic feature of infinitary combinatorics under the Axiom

of Determinacy is the existence of sequences of partition cardinals,

called Kleinberg sequences. It is well known that there are lots of

Kleinberg sequences below aleph-(epsilon-0), but the exact values of

their elements is still unknown. In this note, we give a simple

inductive argument that allows to compute the Kleinberg sequences

corresponding to the (omega-1)-cofinal measures on the odd projective

ordinals without doing any detailed ultrapower analyses.

Item Type: | Report |
---|---|

Report Nr: | PP-2004-22 |

Series Name: | Prepublication (PP) Series |

Year: | 2004 |

Uncontrolled Keywords: | infinitary combinatorics; strong partition cardinal; infinite games |

Depositing User: | Benedikt |

Date Deposited: | 12 Oct 2016 14:36 |

Last Modified: | 12 Oct 2016 14:36 |

URI: | https://eprints.illc.uva.nl/id/eprint/133 |

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