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arXiv.org e-Print Archive
Preprint . 2015
Data sources: arXiv.org e-Print Archive
Annals of Pure and Applied Logic
Article . 2017
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Cardinal characteristics at {\kappa} in a small u(\kappa) model

descriptionPublicationkeyboard_double_arrow_right Preprint , Article 09 Nov 2015 Austria Journal:Annals of Pure and Applied Logic, volume 168, pages 37-49 (issn: 0168-0072, eissn: 1873-2461, Copyright policy )Funded by:FWF | Infinite combinatorics an..., FWF | Regularity Properties in ...
Authors: Brooke-Taylor, Andrew; Fischer, Vera; Friedman, Sy-David; Montoya Amaya, Diana Carolina;

arXiv: 1511.02687

Cardinal characteristics at {\kappa} in a small u(\kappa) model

Abstract

We provide a model where u(\kappa) < 2^{\kappa} for a supercompact cardinal \kappa. Garti and Shelah have provided a sketch of how to obtain such a model by modifying the construction in a paper of Dzamonja and Shelah; we provide here a complete proof using a different modification and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that hold in the countable case as well as some classical forcing notions and their properties.

Comment: 20 pages

Country
Austria
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Keywords

101013 Mathematical logic, 03E17, 03E35, 03E55, Supercompact cardinals, 101013 Mathematische Logik, Generalized cardinal characteristics, Forcing, Mathematics - Logic, generalized cardinal characteristics, supercompact cardinals

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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