Large weight does not yield an irreducible base

2010/07/16 by Saharon Shelah, Shelah, Saharon
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1007.2693

published as Period. Math. Hungar. 66 No. 2 (2013) 131--137

arxiv created 2010/07/16 · openalex publication_date 2010/07/16 · arxiv updated 2010/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Answering a question of Juhasz, Soukup and Szentmiklóssy we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspace which has an irreducible base.

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