Wide scattered spaces and morasses

2010/06/09 by Lajos Soukup, Soukup, Lajos · 1 citation
Computer Science · Mathematics · #03E20 #06E05 #54A25 #54G12 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #Mathematical and Theoretical Analysis #math.GN #math.LO #msc:03E20 #msc:06E05 #msc:54A25 #msc:54G12

paper · pdf · doi:10.48550/arxiv.1006.1720

14 pages

arxiv created 2010/06/09 · openalex publication_date 2010/06/09 · arxiv updated 2010/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that it is relatively consistent with ZFC that 2^omega is arbitrarily large and every sequence s=(s_i:i<omega₂) of infinite cardinals with s_i<=2^omega is the cardinal sequence of some locally compact scattered space.

Cited by

• A consistency theorem for cardinal sequences of length < ω₃

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