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On idealized versions of \pr1+++,\cf(μ))

2012/10/21 by Todd Eisworth, Eisworth, Todd
Mathematics · #03E02 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO) #Mathematical and Theoretical Analysis #math.LO #msc:03E02

paper · pdf · doi:10.48550/arxiv.1210.5759

arxiv created 2012/10/21 · openalex publication_date 2012/10/21 · arxiv updated 2012/10/23 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28

Abstract

We obtain an improvement of some coloring theorems from \citensbpr, \cite819, and \citeAPAL for the case where the singular cardinal in question has countable cofinality. As a corollary, we obtain an "idealized" version of the combinatorial principle \pr1+++,\cf(μ)) that maximizes the indecomposability of the associated ideal.

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