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Preprint . 2012
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On idealized versions of $\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$

descriptionPublicationkeyboard_double_arrow_right Preprint 21 Oct 2012
Authors: Eisworth, Todd;

arXiv: 1210.5759

On idealized versions of $\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$

Abstract

We obtain an improvement of some coloring theorems from \cite{nsbpr}, \cite{819}, and \cite{APAL} for the case where the singular cardinal in question has countable cofinality. As a corollary, we obtain an "idealized" version of the combinatorial principle $\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$ that maximizes the indecomposability of the associated ideal.

Keywords

03E02, Mathematics - Logic

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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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