1999/06/03 by Saharon Shelah, Shelah, Saharon · 2 citations
Mathematics · #FOS: Mathematics #General Topology (math.GN) #History and Theory of Mathematics #Logic (math.LO) #math.GN #math.LO
paper · pdf · doi:10.48550/arxiv.math/9906025
published as Sci. Math. Jpn. 59 No. 2 (2004) 203--255 · Preliminary Report
arxiv created 1999/06/03 · openalex publication_date 1999/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the consistency (modulo supercompact) of a negative answer to Arhangelskii's problem (some Hausdorff compact space cannot be partitioned to two sets not containing a closed copy of Cantor discontinuum). In this model we have CH. Without CH we get consistency results using a pcf assumption, close relatives of which are necessary for such results.