Possible PCF algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 1996Embargo end date: 01 Dec 1994 English Publisher:Cambridge University Press (CUP)Journal:Journal of Symbolic Logic, volume 61, pages 313-317 (issn: 0022-4812, eissn: 1943-5886,

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Authors: Thomas Jech; Saharon Shelah;

doi: 10.2307/2275613 , 10.48550/arxiv.math/9412208

arXiv: math/9412208

Possible PCF algebras

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Abstract

AbstractThere exists a familyof sets of countable ordinals such that:(1) maxBα=α,(2) ifα∈BβthenBα⊆Bβ,(3) ifλ≤αandλis a limit ordinal thenBα∩λis not in the ideal generated by theBβ,β<α, and by the bounded subsets ofλ,(4) there is a partitionofω1such that for everyαand everyn,Bα∩Anis finite.

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Hebrew University of Jerusalem
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Pennsylvania State University
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Rutgers, The State University of New Jersey
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Keywords

FOS: Mathematics, Mathematics - Logic, Logic (math.LO)

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